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Finding the Fourth Proportional to 5,002.32, 6,894.92 and 3,758.16

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Solution

The fourth proportional to 5,002.32, 6,894.92 and 3,758.16 is: 5,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.32 : 6,894.92 = 3,758.16 : x
  2. Step 2: Convert to fraction form
    5,002.32/6,894.92 = 3,758.16/x
  3. Step 3: Cross multiply
    5,002.32x = 6,894.92 × 3,758.16
  4. Step 4: Simplify right side
    5,002.32x = 25,912,212.55
  5. Step 5: Solve for x
    x = 25,912,212.55/5,002.32
  6. Step 6: Final answer
    x = 5,180.04

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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.