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Finding the Fourth Proportional to 5,632.79, 8,449.30 and 1,737.20

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Solution

The fourth proportional to 5,632.79, 8,449.30 and 1,737.20 is: 2,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.79 : 8,449.30 = 1,737.20 : x
  2. Step 2: Convert to fraction form
    5,632.79/8,449.30 = 1,737.20/x
  3. Step 3: Cross multiply
    5,632.79x = 8,449.30 × 1,737.20
  4. Step 4: Simplify right side
    5,632.79x = 14,678,077.37
  5. Step 5: Solve for x
    x = 14,678,077.37/5,632.79
  6. Step 6: Final answer
    x = 2,605.83

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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.