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Finding the Fourth Proportional to 3,972.33, 5,482.17 and 2,400.39

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Solution

The fourth proportional to 3,972.33, 5,482.17 and 2,400.39 is: 3,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.33 : 5,482.17 = 2,400.39 : x
  2. Step 2: Convert to fraction form
    3,972.33/5,482.17 = 2,400.39/x
  3. Step 3: Cross multiply
    3,972.33x = 5,482.17 × 2,400.39
  4. Step 4: Simplify right side
    3,972.33x = 13,159,346.05
  5. Step 5: Solve for x
    x = 13,159,346.05/3,972.33
  6. Step 6: Final answer
    x = 3,312.75

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