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Finding the Fourth Proportional to 5,101.71, 7,652.66 and 1,403.92

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Solution

The fourth proportional to 5,101.71, 7,652.66 and 1,403.92 is: 2,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.71 : 7,652.66 = 1,403.92 : x
  2. Step 2: Convert to fraction form
    5,101.71/7,652.66 = 1,403.92/x
  3. Step 3: Cross multiply
    5,101.71x = 7,652.66 × 1,403.92
  4. Step 4: Simplify right side
    5,101.71x = 10,743,722.43
  5. Step 5: Solve for x
    x = 10,743,722.43/5,101.71
  6. Step 6: Final answer
    x = 2,105.91

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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.