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Finding the Fourth Proportional to 3,583.62, 4,943.10 and 2,919

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Solution

The fourth proportional to 3,583.62, 4,943.10 and 2,919 is: 4,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.62 : 4,943.10 = 2,919 : x
  2. Step 2: Convert to fraction form
    3,583.62/4,943.10 = 2,919/x
  3. Step 3: Cross multiply
    3,583.62x = 4,943.10 × 2,919
  4. Step 4: Simplify right side
    3,583.62x = 14,428,908.90
  5. Step 5: Solve for x
    x = 14,428,908.90/3,583.62
  6. Step 6: Final answer
    x = 4,026.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.