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Finding the Fourth Proportional to 3,567.42, 4,923.05 and 1,974.15

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Solution

The fourth proportional to 3,567.42, 4,923.05 and 1,974.15 is: 2,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.42 : 4,923.05 = 1,974.15 : x
  2. Step 2: Convert to fraction form
    3,567.42/4,923.05 = 1,974.15/x
  3. Step 3: Cross multiply
    3,567.42x = 4,923.05 × 1,974.15
  4. Step 4: Simplify right side
    3,567.42x = 9,718,829.29
  5. Step 5: Solve for x
    x = 9,718,829.29/3,567.42
  6. Step 6: Final answer
    x = 2,724.33

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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.