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Finding the Fourth Proportional to 5,461.98, 7,532.90 and 4,624.52

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Solution

The fourth proportional to 5,461.98, 7,532.90 and 4,624.52 is: 6,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.98 : 7,532.90 = 4,624.52 : x
  2. Step 2: Convert to fraction form
    5,461.98/7,532.90 = 4,624.52/x
  3. Step 3: Cross multiply
    5,461.98x = 7,532.90 × 4,624.52
  4. Step 4: Simplify right side
    5,461.98x = 34,836,046.71
  5. Step 5: Solve for x
    x = 34,836,046.71/5,461.98
  6. Step 6: Final answer
    x = 6,377.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.