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Finding the Fourth Proportional to 4,578.74, 6,863.31 and 2,385.14

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Solution

The fourth proportional to 4,578.74, 6,863.31 and 2,385.14 is: 3,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.74 : 6,863.31 = 2,385.14 : x
  2. Step 2: Convert to fraction form
    4,578.74/6,863.31 = 2,385.14/x
  3. Step 3: Cross multiply
    4,578.74x = 6,863.31 × 2,385.14
  4. Step 4: Simplify right side
    4,578.74x = 16,369,955.21
  5. Step 5: Solve for x
    x = 16,369,955.21/4,578.74
  6. Step 6: Final answer
    x = 3,575.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.