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Finding the Fourth Proportional to 3,802.97, 5,251.73 and 3,595.88

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Solution

The fourth proportional to 3,802.97, 5,251.73 and 3,595.88 is: 4,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.97 : 5,251.73 = 3,595.88 : x
  2. Step 2: Convert to fraction form
    3,802.97/5,251.73 = 3,595.88/x
  3. Step 3: Cross multiply
    3,802.97x = 5,251.73 × 3,595.88
  4. Step 4: Simplify right side
    3,802.97x = 18,884,586.02
  5. Step 5: Solve for x
    x = 18,884,586.02/3,802.97
  6. Step 6: Final answer
    x = 4,965.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.