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Finding the Fourth Proportional to 5,701.74, 8,553.15 and 1,805.64

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Solution

The fourth proportional to 5,701.74, 8,553.15 and 1,805.64 is: 2,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.74 : 8,553.15 = 1,805.64 : x
  2. Step 2: Convert to fraction form
    5,701.74/8,553.15 = 1,805.64/x
  3. Step 3: Cross multiply
    5,701.74x = 8,553.15 × 1,805.64
  4. Step 4: Simplify right side
    5,701.74x = 15,443,909.77
  5. Step 5: Solve for x
    x = 15,443,909.77/5,701.74
  6. Step 6: Final answer
    x = 2,708.63

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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.