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Finding the Fourth Proportional to 6,306.04, 8,701.81 and 3,653.61

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Solution

The fourth proportional to 6,306.04, 8,701.81 and 3,653.61 is: 5,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.04 : 8,701.81 = 3,653.61 : x
  2. Step 2: Convert to fraction form
    6,306.04/8,701.81 = 3,653.61/x
  3. Step 3: Cross multiply
    6,306.04x = 8,701.81 × 3,653.61
  4. Step 4: Simplify right side
    6,306.04x = 31,793,020.03
  5. Step 5: Solve for x
    x = 31,793,020.03/6,306.04
  6. Step 6: Final answer
    x = 5,041.68

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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.