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Finding the Fourth Proportional to 5,283.81, 7,922.07 and 2,320.83

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Solution

The fourth proportional to 5,283.81, 7,922.07 and 2,320.83 is: 3,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.81 : 7,922.07 = 2,320.83 : x
  2. Step 2: Convert to fraction form
    5,283.81/7,922.07 = 2,320.83/x
  3. Step 3: Cross multiply
    5,283.81x = 7,922.07 × 2,320.83
  4. Step 4: Simplify right side
    5,283.81x = 18,385,777.72
  5. Step 5: Solve for x
    x = 18,385,777.72/5,283.81
  6. Step 6: Final answer
    x = 3,479.64

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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.