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Finding the Fourth Proportional to 5,663.29, 8,483.88 and 3,709.57

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Solution

The fourth proportional to 5,663.29, 8,483.88 and 3,709.57 is: 5,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.29 : 8,483.88 = 3,709.57 : x
  2. Step 2: Convert to fraction form
    5,663.29/8,483.88 = 3,709.57/x
  3. Step 3: Cross multiply
    5,663.29x = 8,483.88 × 3,709.57
  4. Step 4: Simplify right side
    5,663.29x = 31,471,546.73
  5. Step 5: Solve for x
    x = 31,471,546.73/5,663.29
  6. Step 6: Final answer
    x = 5,557.11

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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.