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Finding the Fourth Proportional to 3,972.32, 5,482.17 and 2,400.38

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Solution

The fourth proportional to 3,972.32, 5,482.17 and 2,400.38 is: 3,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.32 : 5,482.17 = 2,400.38 : x
  2. Step 2: Convert to fraction form
    3,972.32/5,482.17 = 2,400.38/x
  3. Step 3: Cross multiply
    3,972.32x = 5,482.17 × 2,400.38
  4. Step 4: Simplify right side
    3,972.32x = 13,159,263.81
  5. Step 5: Solve for x
    x = 13,159,263.81/3,972.32
  6. Step 6: Final answer
    x = 3,312.74

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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.