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Finding the Fourth Proportional to 4,641.30, 6,951.42 and 2,452.68

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Solution

The fourth proportional to 4,641.30, 6,951.42 and 2,452.68 is: 3,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.30 : 6,951.42 = 2,452.68 : x
  2. Step 2: Convert to fraction form
    4,641.30/6,951.42 = 2,452.68/x
  3. Step 3: Cross multiply
    4,641.30x = 6,951.42 × 2,452.68
  4. Step 4: Simplify right side
    4,641.30x = 17,049,608.81
  5. Step 5: Solve for x
    x = 17,049,608.81/4,641.30
  6. Step 6: Final answer
    x = 3,673.46

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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.