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Finding the Fourth Proportional to 5,701.65, 7,868.28 and 3,343.80

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Solution

The fourth proportional to 5,701.65, 7,868.28 and 3,343.80 is: 4,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.65 : 7,868.28 = 3,343.80 : x
  2. Step 2: Convert to fraction form
    5,701.65/7,868.28 = 3,343.80/x
  3. Step 3: Cross multiply
    5,701.65x = 7,868.28 × 3,343.80
  4. Step 4: Simplify right side
    5,701.65x = 26,309,954.66
  5. Step 5: Solve for x
    x = 26,309,954.66/5,701.65
  6. Step 6: Final answer
    x = 4,614.45

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1.5x scale

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.