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Finding the Fourth Proportional to 3,654.59, 5,473.35 and 1,799.74

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Solution

The fourth proportional to 3,654.59, 5,473.35 and 1,799.74 is: 2,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.59 : 5,473.35 = 1,799.74 : x
  2. Step 2: Convert to fraction form
    3,654.59/5,473.35 = 1,799.74/x
  3. Step 3: Cross multiply
    3,654.59x = 5,473.35 × 1,799.74
  4. Step 4: Simplify right side
    3,654.59x = 9,850,624.10
  5. Step 5: Solve for x
    x = 9,850,624.10/3,654.59
  6. Step 6: Final answer
    x = 2,695.41

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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.