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Finding the Fourth Proportional to 5,753.64, 7,942.69 and 4,337.90

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Solution

The fourth proportional to 5,753.64, 7,942.69 and 4,337.90 is: 5,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.64 : 7,942.69 = 4,337.90 : x
  2. Step 2: Convert to fraction form
    5,753.64/7,942.69 = 4,337.90/x
  3. Step 3: Cross multiply
    5,753.64x = 7,942.69 × 4,337.90
  4. Step 4: Simplify right side
    5,753.64x = 34,454,555.24
  5. Step 5: Solve for x
    x = 34,454,555.24/5,753.64
  6. Step 6: Final answer
    x = 5,988.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.