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Finding the Fourth Proportional to 3,567.24, 4,922.80 and 1,952.15

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Solution

The fourth proportional to 3,567.24, 4,922.80 and 1,952.15 is: 2,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.24 : 4,922.80 = 1,952.15 : x
  2. Step 2: Convert to fraction form
    3,567.24/4,922.80 = 1,952.15/x
  3. Step 3: Cross multiply
    3,567.24x = 4,922.80 × 1,952.15
  4. Step 4: Simplify right side
    3,567.24x = 9,610,009.65
  5. Step 5: Solve for x
    x = 9,610,009.65/3,567.24
  6. Step 6: Final answer
    x = 2,693.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.