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Finding the Fourth Proportional to 4,952.76, 7,444.53 and 3,115.68

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Solution

The fourth proportional to 4,952.76, 7,444.53 and 3,115.68 is: 4,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.76 : 7,444.53 = 3,115.68 : x
  2. Step 2: Convert to fraction form
    4,952.76/7,444.53 = 3,115.68/x
  3. Step 3: Cross multiply
    4,952.76x = 7,444.53 × 3,115.68
  4. Step 4: Simplify right side
    4,952.76x = 23,194,773.23
  5. Step 5: Solve for x
    x = 23,194,773.23/4,952.76
  6. Step 6: Final answer
    x = 4,683.20

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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.