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Finding the Fourth Proportional to 3,901.50, 5,854.98 and 1,710.90

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Solution

The fourth proportional to 3,901.50, 5,854.98 and 1,710.90 is: 2,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.50 : 5,854.98 = 1,710.90 : x
  2. Step 2: Convert to fraction form
    3,901.50/5,854.98 = 1,710.90/x
  3. Step 3: Cross multiply
    3,901.50x = 5,854.98 × 1,710.90
  4. Step 4: Simplify right side
    3,901.50x = 10,017,285.28
  5. Step 5: Solve for x
    x = 10,017,285.28/3,901.50
  6. Step 6: Final answer
    x = 2,567.55

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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.