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Finding the Fourth Proportional to 5,972.64, 8,242.42 and 3,454.52

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Solution

The fourth proportional to 5,972.64, 8,242.42 and 3,454.52 is: 4,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.64 : 8,242.42 = 3,454.52 : x
  2. Step 2: Convert to fraction form
    5,972.64/8,242.42 = 3,454.52/x
  3. Step 3: Cross multiply
    5,972.64x = 8,242.42 × 3,454.52
  4. Step 4: Simplify right side
    5,972.64x = 28,473,604.74
  5. Step 5: Solve for x
    x = 28,473,604.74/5,972.64
  6. Step 6: Final answer
    x = 4,767.34

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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.