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Finding the Fourth Proportional to 4,753.63, 7,124.50 and 2,287.79

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Solution

The fourth proportional to 4,753.63, 7,124.50 and 2,287.79 is: 3,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.63 : 7,124.50 = 2,287.79 : x
  2. Step 2: Convert to fraction form
    4,753.63/7,124.50 = 2,287.79/x
  3. Step 3: Cross multiply
    4,753.63x = 7,124.50 × 2,287.79
  4. Step 4: Simplify right side
    4,753.63x = 16,299,359.86
  5. Step 5: Solve for x
    x = 16,299,359.86/4,753.63
  6. Step 6: Final answer
    x = 3,428.82

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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.