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Finding the Fourth Proportional to 5,104.10, 7,656.15 and 1,641.70

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Solution

The fourth proportional to 5,104.10, 7,656.15 and 1,641.70 is: 2,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.10 : 7,656.15 = 1,641.70 : x
  2. Step 2: Convert to fraction form
    5,104.10/7,656.15 = 1,641.70/x
  3. Step 3: Cross multiply
    5,104.10x = 7,656.15 × 1,641.70
  4. Step 4: Simplify right side
    5,104.10x = 12,569,101.46
  5. Step 5: Solve for x
    x = 12,569,101.46/5,104.10
  6. Step 6: Final answer
    x = 2,462.55

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