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Finding the Fourth Proportional to 5,674,280.25, 7,821,359.31 and 3,838,068.90

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Solution

The fourth proportional to 5,674,280.25, 7,821,359.31 and 3,838,068.90 is: 5,290,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,280.25 : 7,821,359.31 = 3,838,068.90 : x
  2. Step 2: Convert to fraction form
    5,674,280.25/7,821,359.31 = 3,838,068.90/x
  3. Step 3: Cross multiply
    5,674,280.25x = 7,821,359.31 × 3,838,068.90
  4. Step 4: Simplify right side
    5,674,280.25x = 30,018,915,923,436.46
  5. Step 5: Solve for x
    x = 30,018,915,923,436.46/5,674,280.25
  6. Step 6: Final answer
    x = 5,290,347.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.