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Finding the Fourth Proportional to 5,301.84, 7,954.92 and 2,839.44

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Solution

The fourth proportional to 5,301.84, 7,954.92 and 2,839.44 is: 4,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.84 : 7,954.92 = 2,839.44 : x
  2. Step 2: Convert to fraction form
    5,301.84/7,954.92 = 2,839.44/x
  3. Step 3: Cross multiply
    5,301.84x = 7,954.92 × 2,839.44
  4. Step 4: Simplify right side
    5,301.84x = 22,587,518.04
  5. Step 5: Solve for x
    x = 22,587,518.04/5,301.84
  6. Step 6: Final answer
    x = 4,260.32

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1.5x scale

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.