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Finding the Fourth Proportional to 5,154.71, 7,739.28 and 2,658.02

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Solution

The fourth proportional to 5,154.71, 7,739.28 and 2,658.02 is: 3,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.71 : 7,739.28 = 2,658.02 : x
  2. Step 2: Convert to fraction form
    5,154.71/7,739.28 = 2,658.02/x
  3. Step 3: Cross multiply
    5,154.71x = 7,739.28 × 2,658.02
  4. Step 4: Simplify right side
    5,154.71x = 20,571,122.33
  5. Step 5: Solve for x
    x = 20,571,122.33/5,154.71
  6. Step 6: Final answer
    x = 3,990.75

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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.