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Finding the Fourth Proportional to 4,713.78, 6,504.52 and 2,724.98

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Solution

The fourth proportional to 4,713.78, 6,504.52 and 2,724.98 is: 3,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.78 : 6,504.52 = 2,724.98 : x
  2. Step 2: Convert to fraction form
    4,713.78/6,504.52 = 2,724.98/x
  3. Step 3: Cross multiply
    4,713.78x = 6,504.52 × 2,724.98
  4. Step 4: Simplify right side
    4,713.78x = 17,724,686.91
  5. Step 5: Solve for x
    x = 17,724,686.91/4,713.78
  6. Step 6: Final answer
    x = 3,760.19

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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.