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Finding the Fourth Proportional to 4,679.96, 6,454.12 and 3,085.47

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Solution

The fourth proportional to 4,679.96, 6,454.12 and 3,085.47 is: 4,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.96 : 6,454.12 = 3,085.47 : x
  2. Step 2: Convert to fraction form
    4,679.96/6,454.12 = 3,085.47/x
  3. Step 3: Cross multiply
    4,679.96x = 6,454.12 × 3,085.47
  4. Step 4: Simplify right side
    4,679.96x = 19,914,002.06
  5. Step 5: Solve for x
    x = 19,914,002.06/4,679.96
  6. Step 6: Final answer
    x = 4,255.17

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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.