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Finding the Fourth Proportional to 5,201.70, 7,802.55 and 1,914.90

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Solution

The fourth proportional to 5,201.70, 7,802.55 and 1,914.90 is: 2,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.70 : 7,802.55 = 1,914.90 : x
  2. Step 2: Convert to fraction form
    5,201.70/7,802.55 = 1,914.90/x
  3. Step 3: Cross multiply
    5,201.70x = 7,802.55 × 1,914.90
  4. Step 4: Simplify right side
    5,201.70x = 14,941,103.00
  5. Step 5: Solve for x
    x = 14,941,103.00/5,201.70
  6. Step 6: Final answer
    x = 2,872.35

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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.