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Finding the Fourth Proportional to 2,357.28, 3,530.45 and 2,275.27

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Solution

The fourth proportional to 2,357.28, 3,530.45 and 2,275.27 is: 3,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.28 : 3,530.45 = 2,275.27 : x
  2. Step 2: Convert to fraction form
    2,357.28/3,530.45 = 2,275.27/x
  3. Step 3: Cross multiply
    2,357.28x = 3,530.45 × 2,275.27
  4. Step 4: Simplify right side
    2,357.28x = 8,032,726.97
  5. Step 5: Solve for x
    x = 8,032,726.97/2,357.28
  6. Step 6: Final answer
    x = 3,407.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.