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Finding the Fourth Proportional to 3,446.89, 5,143.86 and 3,077.82

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Solution

The fourth proportional to 3,446.89, 5,143.86 and 3,077.82 is: 4,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.89 : 5,143.86 = 3,077.82 : x
  2. Step 2: Convert to fraction form
    3,446.89/5,143.86 = 3,077.82/x
  3. Step 3: Cross multiply
    3,446.89x = 5,143.86 × 3,077.82
  4. Step 4: Simplify right side
    3,446.89x = 15,831,875.19
  5. Step 5: Solve for x
    x = 15,831,875.19/3,446.89
  6. Step 6: Final answer
    x = 4,593.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.