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Finding the Fourth Proportional to 3,478.55, 5,210.88 and 2,091.14

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Solution

The fourth proportional to 3,478.55, 5,210.88 and 2,091.14 is: 3,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.55 : 5,210.88 = 2,091.14 : x
  2. Step 2: Convert to fraction form
    3,478.55/5,210.88 = 2,091.14/x
  3. Step 3: Cross multiply
    3,478.55x = 5,210.88 × 2,091.14
  4. Step 4: Simplify right side
    3,478.55x = 10,896,653.55
  5. Step 5: Solve for x
    x = 10,896,653.55/3,478.55
  6. Step 6: Final answer
    x = 3,132.53

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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.