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Finding the Fourth Proportional to 4,652.38, 6,978.02 and 1,531.62

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Solution

The fourth proportional to 4,652.38, 6,978.02 and 1,531.62 is: 2,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.38 : 6,978.02 = 1,531.62 : x
  2. Step 2: Convert to fraction form
    4,652.38/6,978.02 = 1,531.62/x
  3. Step 3: Cross multiply
    4,652.38x = 6,978.02 × 1,531.62
  4. Step 4: Simplify right side
    4,652.38x = 10,687,674.99
  5. Step 5: Solve for x
    x = 10,687,674.99/4,652.38
  6. Step 6: Final answer
    x = 2,297.25

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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.