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Finding the Fourth Proportional to 4,332.80, 5,978.22 and 2,564.84

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Solution

The fourth proportional to 4,332.80, 5,978.22 and 2,564.84 is: 3,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.80 : 5,978.22 = 2,564.84 : x
  2. Step 2: Convert to fraction form
    4,332.80/5,978.22 = 2,564.84/x
  3. Step 3: Cross multiply
    4,332.80x = 5,978.22 × 2,564.84
  4. Step 4: Simplify right side
    4,332.80x = 15,333,177.78
  5. Step 5: Solve for x
    x = 15,333,177.78/4,332.80
  6. Step 6: Final answer
    x = 3,538.86

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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.