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Finding the Fourth Proportional to 4,868.71, 7,297.02 and 2,527.34

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Solution

The fourth proportional to 4,868.71, 7,297.02 and 2,527.34 is: 3,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.71 : 7,297.02 = 2,527.34 : x
  2. Step 2: Convert to fraction form
    4,868.71/7,297.02 = 2,527.34/x
  3. Step 3: Cross multiply
    4,868.71x = 7,297.02 × 2,527.34
  4. Step 4: Simplify right side
    4,868.71x = 18,442,014.04
  5. Step 5: Solve for x
    x = 18,442,014.04/4,868.71
  6. Step 6: Final answer
    x = 3,787.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.