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Finding the Fourth Proportional to 5,494.71, 7,582.53 and 3,136.71

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Solution

The fourth proportional to 5,494.71, 7,582.53 and 3,136.71 is: 4,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.71 : 7,582.53 = 3,136.71 : x
  2. Step 2: Convert to fraction form
    5,494.71/7,582.53 = 3,136.71/x
  3. Step 3: Cross multiply
    5,494.71x = 7,582.53 × 3,136.71
  4. Step 4: Simplify right side
    5,494.71x = 23,784,197.68
  5. Step 5: Solve for x
    x = 23,784,197.68/5,494.71
  6. Step 6: Final answer
    x = 4,328.56

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Why These Related Problems?

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