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Finding the Fourth Proportional to 5,366.97, 8,050.68 and 1,471.32

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Solution

The fourth proportional to 5,366.97, 8,050.68 and 1,471.32 is: 2,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.97 : 8,050.68 = 1,471.32 : x
  2. Step 2: Convert to fraction form
    5,366.97/8,050.68 = 1,471.32/x
  3. Step 3: Cross multiply
    5,366.97x = 8,050.68 × 1,471.32
  4. Step 4: Simplify right side
    5,366.97x = 11,845,126.50
  5. Step 5: Solve for x
    x = 11,845,126.50/5,366.97
  6. Step 6: Final answer
    x = 2,207.04

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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.