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Finding the Fourth Proportional to 4,291.40, 6,446.70 and 4,176.20

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Solution

The fourth proportional to 4,291.40, 6,446.70 and 4,176.20 is: 6,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.40 : 6,446.70 = 4,176.20 : x
  2. Step 2: Convert to fraction form
    4,291.40/6,446.70 = 4,176.20/x
  3. Step 3: Cross multiply
    4,291.40x = 6,446.70 × 4,176.20
  4. Step 4: Simplify right side
    4,291.40x = 26,922,708.54
  5. Step 5: Solve for x
    x = 26,922,708.54/4,291.40
  6. Step 6: Final answer
    x = 6,273.64

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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.