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Finding the Fourth Proportional to 5,394.24, 7,442.70 and 4,136.58

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Solution

The fourth proportional to 5,394.24, 7,442.70 and 4,136.58 is: 5,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.24 : 7,442.70 = 4,136.58 : x
  2. Step 2: Convert to fraction form
    5,394.24/7,442.70 = 4,136.58/x
  3. Step 3: Cross multiply
    5,394.24x = 7,442.70 × 4,136.58
  4. Step 4: Simplify right side
    5,394.24x = 30,787,323.97
  5. Step 5: Solve for x
    x = 30,787,323.97/5,394.24
  6. Step 6: Final answer
    x = 5,707.44

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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.