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Finding the Fourth Proportional to 5,889.78, 8,835.21 and 2,966.22

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Solution

The fourth proportional to 5,889.78, 8,835.21 and 2,966.22 is: 4,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.78 : 8,835.21 = 2,966.22 : x
  2. Step 2: Convert to fraction form
    5,889.78/8,835.21 = 2,966.22/x
  3. Step 3: Cross multiply
    5,889.78x = 8,835.21 × 2,966.22
  4. Step 4: Simplify right side
    5,889.78x = 26,207,176.61
  5. Step 5: Solve for x
    x = 26,207,176.61/5,889.78
  6. Step 6: Final answer
    x = 4,449.60

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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.