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Finding the Fourth Proportional to 5,889.68, 8,834.68 and 3,565.52

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Solution

The fourth proportional to 5,889.68, 8,834.68 and 3,565.52 is: 5,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.68 : 8,834.68 = 3,565.52 : x
  2. Step 2: Convert to fraction form
    5,889.68/8,834.68 = 3,565.52/x
  3. Step 3: Cross multiply
    5,889.68x = 8,834.68 × 3,565.52
  4. Step 4: Simplify right side
    5,889.68x = 31,500,228.23
  5. Step 5: Solve for x
    x = 31,500,228.23/5,889.68
  6. Step 6: Final answer
    x = 5,348.38

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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.