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Finding the Fourth Proportional to 5,288.71, 7,932.43 and 1,393.42

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Solution

The fourth proportional to 5,288.71, 7,932.43 and 1,393.42 is: 2,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.71 : 7,932.43 = 1,393.42 : x
  2. Step 2: Convert to fraction form
    5,288.71/7,932.43 = 1,393.42/x
  3. Step 3: Cross multiply
    5,288.71x = 7,932.43 × 1,393.42
  4. Step 4: Simplify right side
    5,288.71x = 11,053,206.61
  5. Step 5: Solve for x
    x = 11,053,206.61/5,288.71
  6. Step 6: Final answer
    x = 2,089.96

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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.