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Finding the Fourth Proportional to 4,332.68, 5,978.22 and 2,564.54

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Solution

The fourth proportional to 4,332.68, 5,978.22 and 2,564.54 is: 3,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.68 : 5,978.22 = 2,564.54 : x
  2. Step 2: Convert to fraction form
    4,332.68/5,978.22 = 2,564.54/x
  3. Step 3: Cross multiply
    4,332.68x = 5,978.22 × 2,564.54
  4. Step 4: Simplify right side
    4,332.68x = 15,331,384.32
  5. Step 5: Solve for x
    x = 15,331,384.32/4,332.68
  6. Step 6: Final answer
    x = 3,538.55

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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.