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Finding the Fourth Proportional to 3,382.90, 5,078 and 2,841.01

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Solution

The fourth proportional to 3,382.90, 5,078 and 2,841.01 is: 4,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.90 : 5,078 = 2,841.01 : x
  2. Step 2: Convert to fraction form
    3,382.90/5,078 = 2,841.01/x
  3. Step 3: Cross multiply
    3,382.90x = 5,078 × 2,841.01
  4. Step 4: Simplify right side
    3,382.90x = 14,426,648.78
  5. Step 5: Solve for x
    x = 14,426,648.78/3,382.90
  6. Step 6: Final answer
    x = 4,264.58

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Why These Related Problems?

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