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Finding the Fourth Proportional to 3,559.71, 5,339.85 and 962.61

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Solution

The fourth proportional to 3,559.71, 5,339.85 and 962.61 is: 1,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.71 : 5,339.85 = 962.61 : x
  2. Step 2: Convert to fraction form
    3,559.71/5,339.85 = 962.61/x
  3. Step 3: Cross multiply
    3,559.71x = 5,339.85 × 962.61
  4. Step 4: Simplify right side
    3,559.71x = 5,140,193.01
  5. Step 5: Solve for x
    x = 5,140,193.01/3,559.71
  6. Step 6: Final answer
    x = 1,443.99

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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.