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Finding the Fourth Proportional to 3,475.53, 5,215.17 and 2,091.66

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Solution

The fourth proportional to 3,475.53, 5,215.17 and 2,091.66 is: 3,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.53 : 5,215.17 = 2,091.66 : x
  2. Step 2: Convert to fraction form
    3,475.53/5,215.17 = 2,091.66/x
  3. Step 3: Cross multiply
    3,475.53x = 5,215.17 × 2,091.66
  4. Step 4: Simplify right side
    3,475.53x = 10,908,362.48
  5. Step 5: Solve for x
    x = 10,908,362.48/3,475.53
  6. Step 6: Final answer
    x = 3,138.62

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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.