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Finding the Fourth Proportional to 3,972.53, 5,482.42 and 2,294.01

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Solution

The fourth proportional to 3,972.53, 5,482.42 and 2,294.01 is: 3,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.53 : 5,482.42 = 2,294.01 : x
  2. Step 2: Convert to fraction form
    3,972.53/5,482.42 = 2,294.01/x
  3. Step 3: Cross multiply
    3,972.53x = 5,482.42 × 2,294.01
  4. Step 4: Simplify right side
    3,972.53x = 12,576,720.57
  5. Step 5: Solve for x
    x = 12,576,720.57/3,972.53
  6. Step 6: Final answer
    x = 3,165.92

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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.