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Finding the Fourth Proportional to 5,711.95, 7,883.47 and 3,323.31

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Solution

The fourth proportional to 5,711.95, 7,883.47 and 3,323.31 is: 4,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.95 : 7,883.47 = 3,323.31 : x
  2. Step 2: Convert to fraction form
    5,711.95/7,883.47 = 3,323.31/x
  3. Step 3: Cross multiply
    5,711.95x = 7,883.47 × 3,323.31
  4. Step 4: Simplify right side
    5,711.95x = 26,199,158.65
  5. Step 5: Solve for x
    x = 26,199,158.65/5,711.95
  6. Step 6: Final answer
    x = 4,586.73

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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.