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Finding the Fourth Proportional to 5,632.74, 8,449.11 and 1,737.15

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Solution

The fourth proportional to 5,632.74, 8,449.11 and 1,737.15 is: 2,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.74 : 8,449.11 = 1,737.15 : x
  2. Step 2: Convert to fraction form
    5,632.74/8,449.11 = 1,737.15/x
  3. Step 3: Cross multiply
    5,632.74x = 8,449.11 × 1,737.15
  4. Step 4: Simplify right side
    5,632.74x = 14,677,339.75
  5. Step 5: Solve for x
    x = 14,677,339.75/5,632.74
  6. Step 6: Final answer
    x = 2,605.72

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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.