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Finding the Fourth Proportional to 5,494.17, 7,582.10 and 3,136.53

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Solution

The fourth proportional to 5,494.17, 7,582.10 and 3,136.53 is: 4,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.17 : 7,582.10 = 3,136.53 : x
  2. Step 2: Convert to fraction form
    5,494.17/7,582.10 = 3,136.53/x
  3. Step 3: Cross multiply
    5,494.17x = 7,582.10 × 3,136.53
  4. Step 4: Simplify right side
    5,494.17x = 23,781,496.86
  5. Step 5: Solve for x
    x = 23,781,496.86/5,494.17
  6. Step 6: Final answer
    x = 4,328.49

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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.