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Finding the Fourth Proportional to 4,071.59, 5,613.86 and 3,441

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Solution

The fourth proportional to 4,071.59, 5,613.86 and 3,441 is: 4,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.59 : 5,613.86 = 3,441 : x
  2. Step 2: Convert to fraction form
    4,071.59/5,613.86 = 3,441/x
  3. Step 3: Cross multiply
    4,071.59x = 5,613.86 × 3,441
  4. Step 4: Simplify right side
    4,071.59x = 19,317,300.86
  5. Step 5: Solve for x
    x = 19,317,300.86/4,071.59
  6. Step 6: Final answer
    x = 4,744.42

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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.