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Finding the Fourth Proportional to 4,863.42, 7,294.52 and 1,353.69

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Solution

The fourth proportional to 4,863.42, 7,294.52 and 1,353.69 is: 2,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.42 : 7,294.52 = 1,353.69 : x
  2. Step 2: Convert to fraction form
    4,863.42/7,294.52 = 1,353.69/x
  3. Step 3: Cross multiply
    4,863.42x = 7,294.52 × 1,353.69
  4. Step 4: Simplify right side
    4,863.42x = 9,874,475.54
  5. Step 5: Solve for x
    x = 9,874,475.54/4,863.42
  6. Step 6: Final answer
    x = 2,030.36

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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.