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Finding the Fourth Proportional to 4,974.90, 6,865.50 and 2,737.02

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Solution

The fourth proportional to 4,974.90, 6,865.50 and 2,737.02 is: 3,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.90 : 6,865.50 = 2,737.02 : x
  2. Step 2: Convert to fraction form
    4,974.90/6,865.50 = 2,737.02/x
  3. Step 3: Cross multiply
    4,974.90x = 6,865.50 × 2,737.02
  4. Step 4: Simplify right side
    4,974.90x = 18,791,010.81
  5. Step 5: Solve for x
    x = 18,791,010.81/4,974.90
  6. Step 6: Final answer
    x = 3,777.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.