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Finding the Fourth Proportional to 5,321.76, 7,985.07 and 2,399.28

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Solution

The fourth proportional to 5,321.76, 7,985.07 and 2,399.28 is: 3,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.76 : 7,985.07 = 2,399.28 : x
  2. Step 2: Convert to fraction form
    5,321.76/7,985.07 = 2,399.28/x
  3. Step 3: Cross multiply
    5,321.76x = 7,985.07 × 2,399.28
  4. Step 4: Simplify right side
    5,321.76x = 19,158,418.75
  5. Step 5: Solve for x
    x = 19,158,418.75/5,321.76
  6. Step 6: Final answer
    x = 3,600.02

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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.