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Finding the Fourth Proportional to 5,867.87, 8,804.43 and 2,948.22

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Solution

The fourth proportional to 5,867.87, 8,804.43 and 2,948.22 is: 4,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.87 : 8,804.43 = 2,948.22 : x
  2. Step 2: Convert to fraction form
    5,867.87/8,804.43 = 2,948.22/x
  3. Step 3: Cross multiply
    5,867.87x = 8,804.43 × 2,948.22
  4. Step 4: Simplify right side
    5,867.87x = 25,957,396.61
  5. Step 5: Solve for x
    x = 25,957,396.61/5,867.87
  6. Step 6: Final answer
    x = 4,423.65

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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.