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Finding the Fourth Proportional to 5,302.50, 7,954.95 and 2,839.68

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Solution

The fourth proportional to 5,302.50, 7,954.95 and 2,839.68 is: 4,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.50 : 7,954.95 = 2,839.68 : x
  2. Step 2: Convert to fraction form
    5,302.50/7,954.95 = 2,839.68/x
  3. Step 3: Cross multiply
    5,302.50x = 7,954.95 × 2,839.68
  4. Step 4: Simplify right side
    5,302.50x = 22,589,512.42
  5. Step 5: Solve for x
    x = 22,589,512.42/5,302.50
  6. Step 6: Final answer
    x = 4,260.16

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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.