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Finding the Fourth Proportional to 5,200,705.90, 7,795,810.05 and 2,362,854.70

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Solution

The fourth proportional to 5,200,705.90, 7,795,810.05 and 2,362,854.70 is: 3,541,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,705.90 : 7,795,810.05 = 2,362,854.70 : x
  2. Step 2: Convert to fraction form
    5,200,705.90/7,795,810.05 = 2,362,854.70/x
  3. Step 3: Cross multiply
    5,200,705.90x = 7,795,810.05 × 2,362,854.70
  4. Step 4: Simplify right side
    5,200,705.90x = 18,420,366,416,949.73
  5. Step 5: Solve for x
    x = 18,420,366,416,949.73/5,200,705.90
  6. Step 6: Final answer
    x = 3,541,897.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.