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Finding the Fourth Proportional to 5,494.52, 7,582.56 and 3,136.60

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Solution

The fourth proportional to 5,494.52, 7,582.56 and 3,136.60 is: 4,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.52 : 7,582.56 = 3,136.60 : x
  2. Step 2: Convert to fraction form
    5,494.52/7,582.56 = 3,136.60/x
  3. Step 3: Cross multiply
    5,494.52x = 7,582.56 × 3,136.60
  4. Step 4: Simplify right side
    5,494.52x = 23,783,457.70
  5. Step 5: Solve for x
    x = 23,783,457.70/5,494.52
  6. Step 6: Final answer
    x = 4,328.58

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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.