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Finding the Fourth Proportional to 3,465.95, 5,200.21 and 2,080.28

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Solution

The fourth proportional to 3,465.95, 5,200.21 and 2,080.28 is: 3,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.95 : 5,200.21 = 2,080.28 : x
  2. Step 2: Convert to fraction form
    3,465.95/5,200.21 = 2,080.28/x
  3. Step 3: Cross multiply
    3,465.95x = 5,200.21 × 2,080.28
  4. Step 4: Simplify right side
    3,465.95x = 10,817,866.86
  5. Step 5: Solve for x
    x = 10,817,866.86/3,465.95
  6. Step 6: Final answer
    x = 3,121.19

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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.