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Finding the Fourth Proportional to 6,085.59, 8,401.14 and 3,849.72

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Solution

The fourth proportional to 6,085.59, 8,401.14 and 3,849.72 is: 5,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.59 : 8,401.14 = 3,849.72 : x
  2. Step 2: Convert to fraction form
    6,085.59/8,401.14 = 3,849.72/x
  3. Step 3: Cross multiply
    6,085.59x = 8,401.14 × 3,849.72
  4. Step 4: Simplify right side
    6,085.59x = 32,342,036.68
  5. Step 5: Solve for x
    x = 32,342,036.68/6,085.59
  6. Step 6: Final answer
    x = 5,314.53

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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.