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Finding the Fourth Proportional to 3,342.89, 5,014.14 and 1,151.57

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Solution

The fourth proportional to 3,342.89, 5,014.14 and 1,151.57 is: 1,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.89 : 5,014.14 = 1,151.57 : x
  2. Step 2: Convert to fraction form
    3,342.89/5,014.14 = 1,151.57/x
  3. Step 3: Cross multiply
    3,342.89x = 5,014.14 × 1,151.57
  4. Step 4: Simplify right side
    3,342.89x = 5,774,133.20
  5. Step 5: Solve for x
    x = 5,774,133.20/3,342.89
  6. Step 6: Final answer
    x = 1,727.29

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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.