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Finding the Fourth Proportional to 3,106.23, 4,659.71 and 1,546.71

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Solution

The fourth proportional to 3,106.23, 4,659.71 and 1,546.71 is: 2,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.23 : 4,659.71 = 1,546.71 : x
  2. Step 2: Convert to fraction form
    3,106.23/4,659.71 = 1,546.71/x
  3. Step 3: Cross multiply
    3,106.23x = 4,659.71 × 1,546.71
  4. Step 4: Simplify right side
    3,106.23x = 7,207,212.32
  5. Step 5: Solve for x
    x = 7,207,212.32/3,106.23
  6. Step 6: Final answer
    x = 2,320.24

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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.