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Finding the Fourth Proportional to 3,574.81, 5,365.68 and 1,727.25

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Solution

The fourth proportional to 3,574.81, 5,365.68 and 1,727.25 is: 2,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.81 : 5,365.68 = 1,727.25 : x
  2. Step 2: Convert to fraction form
    3,574.81/5,365.68 = 1,727.25/x
  3. Step 3: Cross multiply
    3,574.81x = 5,365.68 × 1,727.25
  4. Step 4: Simplify right side
    3,574.81x = 9,267,870.78
  5. Step 5: Solve for x
    x = 9,267,870.78/3,574.81
  6. Step 6: Final answer
    x = 2,592.55

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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.