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Finding the Fourth Proportional to 4,132.72, 5,706.03 and 2,699.50

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Solution

The fourth proportional to 4,132.72, 5,706.03 and 2,699.50 is: 3,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.72 : 5,706.03 = 2,699.50 : x
  2. Step 2: Convert to fraction form
    4,132.72/5,706.03 = 2,699.50/x
  3. Step 3: Cross multiply
    4,132.72x = 5,706.03 × 2,699.50
  4. Step 4: Simplify right side
    4,132.72x = 15,403,427.99
  5. Step 5: Solve for x
    x = 15,403,427.99/4,132.72
  6. Step 6: Final answer
    x = 3,727.19

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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.