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Finding the Fourth Proportional to 3,165.75, 4,740.12 and 2,546.10

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Solution

The fourth proportional to 3,165.75, 4,740.12 and 2,546.10 is: 3,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.75 : 4,740.12 = 2,546.10 : x
  2. Step 2: Convert to fraction form
    3,165.75/4,740.12 = 2,546.10/x
  3. Step 3: Cross multiply
    3,165.75x = 4,740.12 × 2,546.10
  4. Step 4: Simplify right side
    3,165.75x = 12,068,819.53
  5. Step 5: Solve for x
    x = 12,068,819.53/3,165.75
  6. Step 6: Final answer
    x = 3,812.31

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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.