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Finding the Fourth Proportional to 4,461.53, 6,687.89 and 2,117.42

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Solution

The fourth proportional to 4,461.53, 6,687.89 and 2,117.42 is: 3,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.53 : 6,687.89 = 2,117.42 : x
  2. Step 2: Convert to fraction form
    4,461.53/6,687.89 = 2,117.42/x
  3. Step 3: Cross multiply
    4,461.53x = 6,687.89 × 2,117.42
  4. Step 4: Simplify right side
    4,461.53x = 14,161,072.04
  5. Step 5: Solve for x
    x = 14,161,072.04/4,461.53
  6. Step 6: Final answer
    x = 3,174.04

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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.