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Finding the Fourth Proportional to 5,887.92, 8,832 and 2,966.40

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Solution

The fourth proportional to 5,887.92, 8,832 and 2,966.40 is: 4,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.92 : 8,832 = 2,966.40 : x
  2. Step 2: Convert to fraction form
    5,887.92/8,832 = 2,966.40/x
  3. Step 3: Cross multiply
    5,887.92x = 8,832 × 2,966.40
  4. Step 4: Simplify right side
    5,887.92x = 26,199,244.80
  5. Step 5: Solve for x
    x = 26,199,244.80/5,887.92
  6. Step 6: Final answer
    x = 4,449.66

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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.