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Finding the Fourth Proportional to 5,083.70, 7,624.13 and 2,452.91

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Solution

The fourth proportional to 5,083.70, 7,624.13 and 2,452.91 is: 3,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.70 : 7,624.13 = 2,452.91 : x
  2. Step 2: Convert to fraction form
    5,083.70/7,624.13 = 2,452.91/x
  3. Step 3: Cross multiply
    5,083.70x = 7,624.13 × 2,452.91
  4. Step 4: Simplify right side
    5,083.70x = 18,701,329.91
  5. Step 5: Solve for x
    x = 18,701,329.91/5,083.70
  6. Step 6: Final answer
    x = 3,678.69

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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.