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Finding the Fourth Proportional to 3,473.92, 5,211.16 and 1,133.88

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Solution

The fourth proportional to 3,473.92, 5,211.16 and 1,133.88 is: 1,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.92 : 5,211.16 = 1,133.88 : x
  2. Step 2: Convert to fraction form
    3,473.92/5,211.16 = 1,133.88/x
  3. Step 3: Cross multiply
    3,473.92x = 5,211.16 × 1,133.88
  4. Step 4: Simplify right side
    3,473.92x = 5,908,804.05
  5. Step 5: Solve for x
    x = 5,908,804.05/3,473.92
  6. Step 6: Final answer
    x = 1,700.91

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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.