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Finding the Fourth Proportional to 3,508.52, 5,263.06 and 2,047.82

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Solution

The fourth proportional to 3,508.52, 5,263.06 and 2,047.82 is: 3,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.52 : 5,263.06 = 2,047.82 : x
  2. Step 2: Convert to fraction form
    3,508.52/5,263.06 = 2,047.82/x
  3. Step 3: Cross multiply
    3,508.52x = 5,263.06 × 2,047.82
  4. Step 4: Simplify right side
    3,508.52x = 10,777,799.53
  5. Step 5: Solve for x
    x = 10,777,799.53/3,508.52
  6. Step 6: Final answer
    x = 3,071.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.