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Finding the Fourth Proportional to 6,507.74, 8,981.66 and 3,676.30

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Solution

The fourth proportional to 6,507.74, 8,981.66 and 3,676.30 is: 5,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.74 : 8,981.66 = 3,676.30 : x
  2. Step 2: Convert to fraction form
    6,507.74/8,981.66 = 3,676.30/x
  3. Step 3: Cross multiply
    6,507.74x = 8,981.66 × 3,676.30
  4. Step 4: Simplify right side
    6,507.74x = 33,019,276.66
  5. Step 5: Solve for x
    x = 33,019,276.66/6,507.74
  6. Step 6: Final answer
    x = 5,073.85

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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.