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Finding the Fourth Proportional to 5,610.86, 8,412.24 and 1,713.14

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Solution

The fourth proportional to 5,610.86, 8,412.24 and 1,713.14 is: 2,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.86 : 8,412.24 = 1,713.14 : x
  2. Step 2: Convert to fraction form
    5,610.86/8,412.24 = 1,713.14/x
  3. Step 3: Cross multiply
    5,610.86x = 8,412.24 × 1,713.14
  4. Step 4: Simplify right side
    5,610.86x = 14,411,344.83
  5. Step 5: Solve for x
    x = 14,411,344.83/5,610.86
  6. Step 6: Final answer
    x = 2,568.47

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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.