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Finding the Fourth Proportional to 3,439.89, 5,160.12 and 974.94

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Solution

The fourth proportional to 3,439.89, 5,160.12 and 974.94 is: 1,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.89 : 5,160.12 = 974.94 : x
  2. Step 2: Convert to fraction form
    3,439.89/5,160.12 = 974.94/x
  3. Step 3: Cross multiply
    3,439.89x = 5,160.12 × 974.94
  4. Step 4: Simplify right side
    3,439.89x = 5,030,807.39
  5. Step 5: Solve for x
    x = 5,030,807.39/3,439.89
  6. Step 6: Final answer
    x = 1,462.49

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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.