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Finding the Fourth Proportional to 3,002.88, 4,140.12 and 2,462.55

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Solution

The fourth proportional to 3,002.88, 4,140.12 and 2,462.55 is: 3,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.88 : 4,140.12 = 2,462.55 : x
  2. Step 2: Convert to fraction form
    3,002.88/4,140.12 = 2,462.55/x
  3. Step 3: Cross multiply
    3,002.88x = 4,140.12 × 2,462.55
  4. Step 4: Simplify right side
    3,002.88x = 10,195,252.51
  5. Step 5: Solve for x
    x = 10,195,252.51/3,002.88
  6. Step 6: Final answer
    x = 3,395.16

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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.