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Finding the Fourth Proportional to 4,675.17, 6,447.52 and 3,678.66

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Solution

The fourth proportional to 4,675.17, 6,447.52 and 3,678.66 is: 5,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.17 : 6,447.52 = 3,678.66 : x
  2. Step 2: Convert to fraction form
    4,675.17/6,447.52 = 3,678.66/x
  3. Step 3: Cross multiply
    4,675.17x = 6,447.52 × 3,678.66
  4. Step 4: Simplify right side
    4,675.17x = 23,718,233.92
  5. Step 5: Solve for x
    x = 23,718,233.92/4,675.17
  6. Step 6: Final answer
    x = 5,073.23

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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.