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Finding the Fourth Proportional to 5,607.32, 8,411.00 and 1,711.71

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Solution

The fourth proportional to 5,607.32, 8,411.00 and 1,711.71 is: 2,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.32 : 8,411.00 = 1,711.71 : x
  2. Step 2: Convert to fraction form
    5,607.32/8,411.00 = 1,711.71/x
  3. Step 3: Cross multiply
    5,607.32x = 8,411.00 × 1,711.71
  4. Step 4: Simplify right side
    5,607.32x = 14,397,184.25
  5. Step 5: Solve for x
    x = 14,397,184.25/5,607.32
  6. Step 6: Final answer
    x = 2,567.57

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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.