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Finding the Fourth Proportional to 5,216.64, 7,829.40 and 2,753.24

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Solution

The fourth proportional to 5,216.64, 7,829.40 and 2,753.24 is: 4,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.64 : 7,829.40 = 2,753.24 : x
  2. Step 2: Convert to fraction form
    5,216.64/7,829.40 = 2,753.24/x
  3. Step 3: Cross multiply
    5,216.64x = 7,829.40 × 2,753.24
  4. Step 4: Simplify right side
    5,216.64x = 21,556,217.26
  5. Step 5: Solve for x
    x = 21,556,217.26/5,216.64
  6. Step 6: Final answer
    x = 4,132.20

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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.