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Finding the Fourth Proportional to 3,319.62, 4,976.16 and 1,471.74

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Solution

The fourth proportional to 3,319.62, 4,976.16 and 1,471.74 is: 2,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.62 : 4,976.16 = 1,471.74 : x
  2. Step 2: Convert to fraction form
    3,319.62/4,976.16 = 1,471.74/x
  3. Step 3: Cross multiply
    3,319.62x = 4,976.16 × 1,471.74
  4. Step 4: Simplify right side
    3,319.62x = 7,323,613.72
  5. Step 5: Solve for x
    x = 7,323,613.72/3,319.62
  6. Step 6: Final answer
    x = 2,206.16

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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.