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Finding the Fourth Proportional to 5,829.12, 8,751.31 and 3,461.53

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Solution

The fourth proportional to 5,829.12, 8,751.31 and 3,461.53 is: 5,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.12 : 8,751.31 = 3,461.53 : x
  2. Step 2: Convert to fraction form
    5,829.12/8,751.31 = 3,461.53/x
  3. Step 3: Cross multiply
    5,829.12x = 8,751.31 × 3,461.53
  4. Step 4: Simplify right side
    5,829.12x = 30,292,922.10
  5. Step 5: Solve for x
    x = 30,292,922.10/5,829.12
  6. Step 6: Final answer
    x = 5,196.83

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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.