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Finding the Fourth Proportional to 5,642.84, 7,782.39 and 4,229.84

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Solution

The fourth proportional to 5,642.84, 7,782.39 and 4,229.84 is: 5,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.84 : 7,782.39 = 4,229.84 : x
  2. Step 2: Convert to fraction form
    5,642.84/7,782.39 = 4,229.84/x
  3. Step 3: Cross multiply
    5,642.84x = 7,782.39 × 4,229.84
  4. Step 4: Simplify right side
    5,642.84x = 32,918,283.97
  5. Step 5: Solve for x
    x = 32,918,283.97/5,642.84
  6. Step 6: Final answer
    x = 5,833.64

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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.