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Finding the Fourth Proportional to 5,971.59, 8,239.46 and 3,613.68

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Solution

The fourth proportional to 5,971.59, 8,239.46 and 3,613.68 is: 4,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.59 : 8,239.46 = 3,613.68 : x
  2. Step 2: Convert to fraction form
    5,971.59/8,239.46 = 3,613.68/x
  3. Step 3: Cross multiply
    5,971.59x = 8,239.46 × 3,613.68
  4. Step 4: Simplify right side
    5,971.59x = 29,774,753.74
  5. Step 5: Solve for x
    x = 29,774,753.74/5,971.59
  6. Step 6: Final answer
    x = 4,986.07

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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.