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Finding the Fourth Proportional to 4,089.69, 5,646.11 and 2,728.01

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Solution

The fourth proportional to 4,089.69, 5,646.11 and 2,728.01 is: 3,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.69 : 5,646.11 = 2,728.01 : x
  2. Step 2: Convert to fraction form
    4,089.69/5,646.11 = 2,728.01/x
  3. Step 3: Cross multiply
    4,089.69x = 5,646.11 × 2,728.01
  4. Step 4: Simplify right side
    4,089.69x = 15,402,645.02
  5. Step 5: Solve for x
    x = 15,402,645.02/4,089.69
  6. Step 6: Final answer
    x = 3,766.21

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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.