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Finding the Fourth Proportional to 3,116.90, 4,307.02 and 2,965.04

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Solution

The fourth proportional to 3,116.90, 4,307.02 and 2,965.04 is: 4,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.90 : 4,307.02 = 2,965.04 : x
  2. Step 2: Convert to fraction form
    3,116.90/4,307.02 = 2,965.04/x
  3. Step 3: Cross multiply
    3,116.90x = 4,307.02 × 2,965.04
  4. Step 4: Simplify right side
    3,116.90x = 12,770,465.05
  5. Step 5: Solve for x
    x = 12,770,465.05/3,116.90
  6. Step 6: Final answer
    x = 4,097.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.