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Finding the Fourth Proportional to 5,604.60, 7,734.18 and 3,509.88

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Solution

The fourth proportional to 5,604.60, 7,734.18 and 3,509.88 is: 4,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.60 : 7,734.18 = 3,509.88 : x
  2. Step 2: Convert to fraction form
    5,604.60/7,734.18 = 3,509.88/x
  3. Step 3: Cross multiply
    5,604.60x = 7,734.18 × 3,509.88
  4. Step 4: Simplify right side
    5,604.60x = 27,146,043.70
  5. Step 5: Solve for x
    x = 27,146,043.70/5,604.60
  6. Step 6: Final answer
    x = 4,843.53

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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.