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Finding the Fourth Proportional to 5,248.62, 7,868.07 and 2,938.50

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Solution

The fourth proportional to 5,248.62, 7,868.07 and 2,938.50 is: 4,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.62 : 7,868.07 = 2,938.50 : x
  2. Step 2: Convert to fraction form
    5,248.62/7,868.07 = 2,938.50/x
  3. Step 3: Cross multiply
    5,248.62x = 7,868.07 × 2,938.50
  4. Step 4: Simplify right side
    5,248.62x = 23,120,323.70
  5. Step 5: Solve for x
    x = 23,120,323.70/5,248.62
  6. Step 6: Final answer
    x = 4,405.03

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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.