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Finding the Fourth Proportional to 3,052.61, 4,578.65 and 972.53

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Solution

The fourth proportional to 3,052.61, 4,578.65 and 972.53 is: 1,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.61 : 4,578.65 = 972.53 : x
  2. Step 2: Convert to fraction form
    3,052.61/4,578.65 = 972.53/x
  3. Step 3: Cross multiply
    3,052.61x = 4,578.65 × 972.53
  4. Step 4: Simplify right side
    3,052.61x = 4,452,854.02
  5. Step 5: Solve for x
    x = 4,452,854.02/3,052.61
  6. Step 6: Final answer
    x = 1,458.71

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Why These Related Problems?

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