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Finding the Fourth Proportional to 2,960.14, 4,083.83 and 2,587.14

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Solution

The fourth proportional to 2,960.14, 4,083.83 and 2,587.14 is: 3,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.14 : 4,083.83 = 2,587.14 : x
  2. Step 2: Convert to fraction form
    2,960.14/4,083.83 = 2,587.14/x
  3. Step 3: Cross multiply
    2,960.14x = 4,083.83 × 2,587.14
  4. Step 4: Simplify right side
    2,960.14x = 10,565,419.53
  5. Step 5: Solve for x
    x = 10,565,419.53/2,960.14
  6. Step 6: Final answer
    x = 3,569.23

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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.