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Finding the Fourth Proportional to 5,244.75, 7,868.47 and 1,957.87

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Solution

The fourth proportional to 5,244.75, 7,868.47 and 1,957.87 is: 2,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.75 : 7,868.47 = 1,957.87 : x
  2. Step 2: Convert to fraction form
    5,244.75/7,868.47 = 1,957.87/x
  3. Step 3: Cross multiply
    5,244.75x = 7,868.47 × 1,957.87
  4. Step 4: Simplify right side
    5,244.75x = 15,405,402.02
  5. Step 5: Solve for x
    x = 15,405,402.02/5,244.75
  6. Step 6: Final answer
    x = 2,937.30

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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.