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Finding the Fourth Proportional to 5,899.32, 8,829.54 and 5,251.32

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Solution

The fourth proportional to 5,899.32, 8,829.54 and 5,251.32 is: 7,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.32 : 8,829.54 = 5,251.32 : x
  2. Step 2: Convert to fraction form
    5,899.32/8,829.54 = 5,251.32/x
  3. Step 3: Cross multiply
    5,899.32x = 8,829.54 × 5,251.32
  4. Step 4: Simplify right side
    5,899.32x = 46,366,739.99
  5. Step 5: Solve for x
    x = 46,366,739.99/5,899.32
  6. Step 6: Final answer
    x = 7,859.68

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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.