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Finding the Fourth Proportional to 3,106.26, 4,659.39 and 2,916.18

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Solution

The fourth proportional to 3,106.26, 4,659.39 and 2,916.18 is: 4,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.26 : 4,659.39 = 2,916.18 : x
  2. Step 2: Convert to fraction form
    3,106.26/4,659.39 = 2,916.18/x
  3. Step 3: Cross multiply
    3,106.26x = 4,659.39 × 2,916.18
  4. Step 4: Simplify right side
    3,106.26x = 13,587,619.93
  5. Step 5: Solve for x
    x = 13,587,619.93/3,106.26
  6. Step 6: Final answer
    x = 4,374.27

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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.