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Finding the Fourth Proportional to 3,972.62, 5,482.22 and 2,400.42

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Solution

The fourth proportional to 3,972.62, 5,482.22 and 2,400.42 is: 3,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.62 : 5,482.22 = 2,400.42 : x
  2. Step 2: Convert to fraction form
    3,972.62/5,482.22 = 2,400.42/x
  3. Step 3: Cross multiply
    3,972.62x = 5,482.22 × 2,400.42
  4. Step 4: Simplify right side
    3,972.62x = 13,159,630.53
  5. Step 5: Solve for x
    x = 13,159,630.53/3,972.62
  6. Step 6: Final answer
    x = 3,312.58

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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.