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Finding the Fourth Proportional to 3,972.57, 5,482.80 and 2,400.90

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Solution

The fourth proportional to 3,972.57, 5,482.80 and 2,400.90 is: 3,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.57 : 5,482.80 = 2,400.90 : x
  2. Step 2: Convert to fraction form
    3,972.57/5,482.80 = 2,400.90/x
  3. Step 3: Cross multiply
    3,972.57x = 5,482.80 × 2,400.90
  4. Step 4: Simplify right side
    3,972.57x = 13,163,654.52
  5. Step 5: Solve for x
    x = 13,163,654.52/3,972.57
  6. Step 6: Final answer
    x = 3,313.64

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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.