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Finding the Fourth Proportional to 5,071.76, 7,610.90 and 2,473.28

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Solution

The fourth proportional to 5,071.76, 7,610.90 and 2,473.28 is: 3,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.76 : 7,610.90 = 2,473.28 : x
  2. Step 2: Convert to fraction form
    5,071.76/7,610.90 = 2,473.28/x
  3. Step 3: Cross multiply
    5,071.76x = 7,610.90 × 2,473.28
  4. Step 4: Simplify right side
    5,071.76x = 18,823,836.33
  5. Step 5: Solve for x
    x = 18,823,836.33/5,071.76
  6. Step 6: Final answer
    x = 3,711.50

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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.