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Finding the Fourth Proportional to 3,597, 4,964.34 and 2,355.72

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Solution

The fourth proportional to 3,597, 4,964.34 and 2,355.72 is: 3,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597 : 4,964.34 = 2,355.72 : x
  2. Step 2: Convert to fraction form
    3,597/4,964.34 = 2,355.72/x
  3. Step 3: Cross multiply
    3,597x = 4,964.34 × 2,355.72
  4. Step 4: Simplify right side
    3,597x = 11,694,595.02
  5. Step 5: Solve for x
    x = 11,694,595.02/3,597
  6. Step 6: Final answer
    x = 3,251.21

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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.