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Finding the Fourth Proportional to 5,733.28, 7,911.80 and 3,343.76

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Solution

The fourth proportional to 5,733.28, 7,911.80 and 3,343.76 is: 4,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.28 : 7,911.80 = 3,343.76 : x
  2. Step 2: Convert to fraction form
    5,733.28/7,911.80 = 3,343.76/x
  3. Step 3: Cross multiply
    5,733.28x = 7,911.80 × 3,343.76
  4. Step 4: Simplify right side
    5,733.28x = 26,455,160.37
  5. Step 5: Solve for x
    x = 26,455,160.37/5,733.28
  6. Step 6: Final answer
    x = 4,614.32

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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.