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Finding the Fourth Proportional to 4,225.42, 6,338.14 and 1,147.42

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Solution

The fourth proportional to 4,225.42, 6,338.14 and 1,147.42 is: 1,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.42 : 6,338.14 = 1,147.42 : x
  2. Step 2: Convert to fraction form
    4,225.42/6,338.14 = 1,147.42/x
  3. Step 3: Cross multiply
    4,225.42x = 6,338.14 × 1,147.42
  4. Step 4: Simplify right side
    4,225.42x = 7,272,508.60
  5. Step 5: Solve for x
    x = 7,272,508.60/4,225.42
  6. Step 6: Final answer
    x = 1,721.13

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