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Finding the Fourth Proportional to 4,694.85, 7,032.87 and 2,232.06

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Solution

The fourth proportional to 4,694.85, 7,032.87 and 2,232.06 is: 3,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.85 : 7,032.87 = 2,232.06 : x
  2. Step 2: Convert to fraction form
    4,694.85/7,032.87 = 2,232.06/x
  3. Step 3: Cross multiply
    4,694.85x = 7,032.87 × 2,232.06
  4. Step 4: Simplify right side
    4,694.85x = 15,697,787.81
  5. Step 5: Solve for x
    x = 15,697,787.81/4,694.85
  6. Step 6: Final answer
    x = 3,343.62

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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.