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Finding the Fourth Proportional to 3,580.46, 5,364.62 and 1,732.44

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Solution

The fourth proportional to 3,580.46, 5,364.62 and 1,732.44 is: 2,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.46 : 5,364.62 = 1,732.44 : x
  2. Step 2: Convert to fraction form
    3,580.46/5,364.62 = 1,732.44/x
  3. Step 3: Cross multiply
    3,580.46x = 5,364.62 × 1,732.44
  4. Step 4: Simplify right side
    3,580.46x = 9,293,882.27
  5. Step 5: Solve for x
    x = 9,293,882.27/3,580.46
  6. Step 6: Final answer
    x = 2,595.72

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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.