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Finding the Fourth Proportional to 3,616.80, 5,412 and 2,463.36

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Solution

The fourth proportional to 3,616.80, 5,412 and 2,463.36 is: 3,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.80 : 5,412 = 2,463.36 : x
  2. Step 2: Convert to fraction form
    3,616.80/5,412 = 2,463.36/x
  3. Step 3: Cross multiply
    3,616.80x = 5,412 × 2,463.36
  4. Step 4: Simplify right side
    3,616.80x = 13,331,704.32
  5. Step 5: Solve for x
    x = 13,331,704.32/3,616.80
  6. Step 6: Final answer
    x = 3,686.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.