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Finding the Fourth Proportional to 5,614.86, 8,422.29 and 1,718.76

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Solution

The fourth proportional to 5,614.86, 8,422.29 and 1,718.76 is: 2,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.86 : 8,422.29 = 1,718.76 : x
  2. Step 2: Convert to fraction form
    5,614.86/8,422.29 = 1,718.76/x
  3. Step 3: Cross multiply
    5,614.86x = 8,422.29 × 1,718.76
  4. Step 4: Simplify right side
    5,614.86x = 14,475,895.16
  5. Step 5: Solve for x
    x = 14,475,895.16/5,614.86
  6. Step 6: Final answer
    x = 2,578.14

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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.