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Finding the Fourth Proportional to 3,522.72, 5,283.49 and 1,182.46

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Solution

The fourth proportional to 3,522.72, 5,283.49 and 1,182.46 is: 1,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.72 : 5,283.49 = 1,182.46 : x
  2. Step 2: Convert to fraction form
    3,522.72/5,283.49 = 1,182.46/x
  3. Step 3: Cross multiply
    3,522.72x = 5,283.49 × 1,182.46
  4. Step 4: Simplify right side
    3,522.72x = 6,247,528.79
  5. Step 5: Solve for x
    x = 6,247,528.79/3,522.72
  6. Step 6: Final answer
    x = 1,773.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.