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Finding the Fourth Proportional to 5,604.93, 7,734.47 and 3,120.93

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Solution

The fourth proportional to 5,604.93, 7,734.47 and 3,120.93 is: 4,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.93 : 7,734.47 = 3,120.93 : x
  2. Step 2: Convert to fraction form
    5,604.93/7,734.47 = 3,120.93/x
  3. Step 3: Cross multiply
    5,604.93x = 7,734.47 × 3,120.93
  4. Step 4: Simplify right side
    5,604.93x = 24,138,723.85
  5. Step 5: Solve for x
    x = 24,138,723.85/5,604.93
  6. Step 6: Final answer
    x = 4,306.69

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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.