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Finding the Fourth Proportional to 5,891.42, 8,829.32 and 3,259.52

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Solution

The fourth proportional to 5,891.42, 8,829.32 and 3,259.52 is: 4,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.42 : 8,829.32 = 3,259.52 : x
  2. Step 2: Convert to fraction form
    5,891.42/8,829.32 = 3,259.52/x
  3. Step 3: Cross multiply
    5,891.42x = 8,829.32 × 3,259.52
  4. Step 4: Simplify right side
    5,891.42x = 28,779,345.13
  5. Step 5: Solve for x
    x = 28,779,345.13/5,891.42
  6. Step 6: Final answer
    x = 4,884.96

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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.