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Finding the Fourth Proportional to 4,613.84, 6,365.16 and 3,217.40

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Solution

The fourth proportional to 4,613.84, 6,365.16 and 3,217.40 is: 4,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.84 : 6,365.16 = 3,217.40 : x
  2. Step 2: Convert to fraction form
    4,613.84/6,365.16 = 3,217.40/x
  3. Step 3: Cross multiply
    4,613.84x = 6,365.16 × 3,217.40
  4. Step 4: Simplify right side
    4,613.84x = 20,479,265.78
  5. Step 5: Solve for x
    x = 20,479,265.78/4,613.84
  6. Step 6: Final answer
    x = 4,438.66

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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.