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Finding the Fourth Proportional to 4,313.80, 6,470.70 and 3,657.70

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Solution

The fourth proportional to 4,313.80, 6,470.70 and 3,657.70 is: 5,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.80 : 6,470.70 = 3,657.70 : x
  2. Step 2: Convert to fraction form
    4,313.80/6,470.70 = 3,657.70/x
  3. Step 3: Cross multiply
    4,313.80x = 6,470.70 × 3,657.70
  4. Step 4: Simplify right side
    4,313.80x = 23,667,879.39
  5. Step 5: Solve for x
    x = 23,667,879.39/4,313.80
  6. Step 6: Final answer
    x = 5,486.55

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Similar ratio
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1.5x scale

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.