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Finding the Fourth Proportional to 3,478.57, 5,210.90 and 2,091.16

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Solution

The fourth proportional to 3,478.57, 5,210.90 and 2,091.16 is: 3,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.57 : 5,210.90 = 2,091.16 : x
  2. Step 2: Convert to fraction form
    3,478.57/5,210.90 = 2,091.16/x
  3. Step 3: Cross multiply
    3,478.57x = 5,210.90 × 2,091.16
  4. Step 4: Simplify right side
    3,478.57x = 10,896,825.64
  5. Step 5: Solve for x
    x = 10,896,825.64/3,478.57
  6. Step 6: Final answer
    x = 3,132.56

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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.