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Finding the Fourth Proportional to 3,297.60, 4,542.72 and 2,666.88

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Solution

The fourth proportional to 3,297.60, 4,542.72 and 2,666.88 is: 3,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.60 : 4,542.72 = 2,666.88 : x
  2. Step 2: Convert to fraction form
    3,297.60/4,542.72 = 2,666.88/x
  3. Step 3: Cross multiply
    3,297.60x = 4,542.72 × 2,666.88
  4. Step 4: Simplify right side
    3,297.60x = 12,114,889.11
  5. Step 5: Solve for x
    x = 12,114,889.11/3,297.60
  6. Step 6: Final answer
    x = 3,673.85

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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.