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Finding the Fourth Proportional to 3,003.84, 4,143.02 and 2,584.90

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Solution

The fourth proportional to 3,003.84, 4,143.02 and 2,584.90 is: 3,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.84 : 4,143.02 = 2,584.90 : x
  2. Step 2: Convert to fraction form
    3,003.84/4,143.02 = 2,584.90/x
  3. Step 3: Cross multiply
    3,003.84x = 4,143.02 × 2,584.90
  4. Step 4: Simplify right side
    3,003.84x = 10,709,269.12
  5. Step 5: Solve for x
    x = 10,709,269.12/3,003.84
  6. Step 6: Final answer
    x = 3,565.19

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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.