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Finding the Fourth Proportional to 3,127.52, 4,687.64 and 1,392.50

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Solution

The fourth proportional to 3,127.52, 4,687.64 and 1,392.50 is: 2,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.52 : 4,687.64 = 1,392.50 : x
  2. Step 2: Convert to fraction form
    3,127.52/4,687.64 = 1,392.50/x
  3. Step 3: Cross multiply
    3,127.52x = 4,687.64 × 1,392.50
  4. Step 4: Simplify right side
    3,127.52x = 6,527,531.74
  5. Step 5: Solve for x
    x = 6,527,531.74/3,127.52
  6. Step 6: Final answer
    x = 2,087.13

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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.