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Finding the Fourth Proportional to 5,926.87, 8,890.46 and 4,542.68

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Solution

The fourth proportional to 5,926.87, 8,890.46 and 4,542.68 is: 6,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.87 : 8,890.46 = 4,542.68 : x
  2. Step 2: Convert to fraction form
    5,926.87/8,890.46 = 4,542.68/x
  3. Step 3: Cross multiply
    5,926.87x = 8,890.46 × 4,542.68
  4. Step 4: Simplify right side
    5,926.87x = 40,386,531.38
  5. Step 5: Solve for x
    x = 40,386,531.38/5,926.87
  6. Step 6: Final answer
    x = 6,814.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.