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Finding the Fourth Proportional to 3,322.80, 4,567.14 and 2,927.52

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Solution

The fourth proportional to 3,322.80, 4,567.14 and 2,927.52 is: 4,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.80 : 4,567.14 = 2,927.52 : x
  2. Step 2: Convert to fraction form
    3,322.80/4,567.14 = 2,927.52/x
  3. Step 3: Cross multiply
    3,322.80x = 4,567.14 × 2,927.52
  4. Step 4: Simplify right side
    3,322.80x = 13,370,393.69
  5. Step 5: Solve for x
    x = 13,370,393.69/3,322.80
  6. Step 6: Final answer
    x = 4,023.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.