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Finding the Fourth Proportional to 3,574.25, 5,364.68 and 1,820.52

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Solution

The fourth proportional to 3,574.25, 5,364.68 and 1,820.52 is: 2,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.25 : 5,364.68 = 1,820.52 : x
  2. Step 2: Convert to fraction form
    3,574.25/5,364.68 = 1,820.52/x
  3. Step 3: Cross multiply
    3,574.25x = 5,364.68 × 1,820.52
  4. Step 4: Simplify right side
    3,574.25x = 9,766,507.23
  5. Step 5: Solve for x
    x = 9,766,507.23/3,574.25
  6. Step 6: Final answer
    x = 2,732.46

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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.