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Finding the Fourth Proportional to 3,463.76, 4,780.42 and 2,287.28

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Solution

The fourth proportional to 3,463.76, 4,780.42 and 2,287.28 is: 3,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.76 : 4,780.42 = 2,287.28 : x
  2. Step 2: Convert to fraction form
    3,463.76/4,780.42 = 2,287.28/x
  3. Step 3: Cross multiply
    3,463.76x = 4,780.42 × 2,287.28
  4. Step 4: Simplify right side
    3,463.76x = 10,934,159.06
  5. Step 5: Solve for x
    x = 10,934,159.06/3,463.76
  6. Step 6: Final answer
    x = 3,156.73

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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.