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Finding the Fourth Proportional to 3,171.30, 4,746.15 and 2,912.10

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Solution

The fourth proportional to 3,171.30, 4,746.15 and 2,912.10 is: 4,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.30 : 4,746.15 = 2,912.10 : x
  2. Step 2: Convert to fraction form
    3,171.30/4,746.15 = 2,912.10/x
  3. Step 3: Cross multiply
    3,171.30x = 4,746.15 × 2,912.10
  4. Step 4: Simplify right side
    3,171.30x = 13,821,263.42
  5. Step 5: Solve for x
    x = 13,821,263.42/3,171.30
  6. Step 6: Final answer
    x = 4,358.23

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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.