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Finding the Fourth Proportional to 6,501.52, 8,972.10 and 3,669.49

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Solution

The fourth proportional to 6,501.52, 8,972.10 and 3,669.49 is: 5,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.52 : 8,972.10 = 3,669.49 : x
  2. Step 2: Convert to fraction form
    6,501.52/8,972.10 = 3,669.49/x
  3. Step 3: Cross multiply
    6,501.52x = 8,972.10 × 3,669.49
  4. Step 4: Simplify right side
    6,501.52x = 32,923,031.23
  5. Step 5: Solve for x
    x = 32,923,031.23/6,501.52
  6. Step 6: Final answer
    x = 5,063.90

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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.