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Finding the Fourth Proportional to 5,974.16, 8,961.23 and 1,591.63

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Solution

The fourth proportional to 5,974.16, 8,961.23 and 1,591.63 is: 2,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.16 : 8,961.23 = 1,591.63 : x
  2. Step 2: Convert to fraction form
    5,974.16/8,961.23 = 1,591.63/x
  3. Step 3: Cross multiply
    5,974.16x = 8,961.23 × 1,591.63
  4. Step 4: Simplify right side
    5,974.16x = 14,262,962.50
  5. Step 5: Solve for x
    x = 14,262,962.50/5,974.16
  6. Step 6: Final answer
    x = 2,387.44

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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.