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Finding the Fourth Proportional to 6,306.24, 8,702 and 3,473.58

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Solution

The fourth proportional to 6,306.24, 8,702 and 3,473.58 is: 4,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.24 : 8,702 = 3,473.58 : x
  2. Step 2: Convert to fraction form
    6,306.24/8,702 = 3,473.58/x
  3. Step 3: Cross multiply
    6,306.24x = 8,702 × 3,473.58
  4. Step 4: Simplify right side
    6,306.24x = 30,227,093.16
  5. Step 5: Solve for x
    x = 30,227,093.16/6,306.24
  6. Step 6: Final answer
    x = 4,793.20

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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.