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Finding the Fourth Proportional to 4,897.92, 6,760.56 and 2,802.24

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Solution

The fourth proportional to 4,897.92, 6,760.56 and 2,802.24 is: 3,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.92 : 6,760.56 = 2,802.24 : x
  2. Step 2: Convert to fraction form
    4,897.92/6,760.56 = 2,802.24/x
  3. Step 3: Cross multiply
    4,897.92x = 6,760.56 × 2,802.24
  4. Step 4: Simplify right side
    4,897.92x = 18,944,711.65
  5. Step 5: Solve for x
    x = 18,944,711.65/4,897.92
  6. Step 6: Final answer
    x = 3,867.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.