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Finding the Fourth Proportional to 5,829.64, 8,729.10 and 4,462.60

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Solution

The fourth proportional to 5,829.64, 8,729.10 and 4,462.60 is: 6,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.64 : 8,729.10 = 4,462.60 : x
  2. Step 2: Convert to fraction form
    5,829.64/8,729.10 = 4,462.60/x
  3. Step 3: Cross multiply
    5,829.64x = 8,729.10 × 4,462.60
  4. Step 4: Simplify right side
    5,829.64x = 38,954,481.66
  5. Step 5: Solve for x
    x = 38,954,481.66/5,829.64
  6. Step 6: Final answer
    x = 6,682.14

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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.