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Finding the Fourth Proportional to 3,689.29, 5,086.79 and 3,014.60

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Solution

The fourth proportional to 3,689.29, 5,086.79 and 3,014.60 is: 4,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.29 : 5,086.79 = 3,014.60 : x
  2. Step 2: Convert to fraction form
    3,689.29/5,086.79 = 3,014.60/x
  3. Step 3: Cross multiply
    3,689.29x = 5,086.79 × 3,014.60
  4. Step 4: Simplify right side
    3,689.29x = 15,334,637.13
  5. Step 5: Solve for x
    x = 15,334,637.13/3,689.29
  6. Step 6: Final answer
    x = 4,156.53

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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.