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Finding the Fourth Proportional to 4,053.67, 6,069.96 and 3,472.40

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Solution

The fourth proportional to 4,053.67, 6,069.96 and 3,472.40 is: 5,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.67 : 6,069.96 = 3,472.40 : x
  2. Step 2: Convert to fraction form
    4,053.67/6,069.96 = 3,472.40/x
  3. Step 3: Cross multiply
    4,053.67x = 6,069.96 × 3,472.40
  4. Step 4: Simplify right side
    4,053.67x = 21,077,329.10
  5. Step 5: Solve for x
    x = 21,077,329.10/4,053.67
  6. Step 6: Final answer
    x = 5,199.57

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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.