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Finding the Fourth Proportional to 3,440.52, 5,160.13 and 974.75

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Solution

The fourth proportional to 3,440.52, 5,160.13 and 974.75 is: 1,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.52 : 5,160.13 = 974.75 : x
  2. Step 2: Convert to fraction form
    3,440.52/5,160.13 = 974.75/x
  3. Step 3: Cross multiply
    3,440.52x = 5,160.13 × 974.75
  4. Step 4: Simplify right side
    3,440.52x = 5,029,836.72
  5. Step 5: Solve for x
    x = 5,029,836.72/3,440.52
  6. Step 6: Final answer
    x = 1,461.94

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1.5x scale

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.