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Finding the Fourth Proportional to 3,477.52, 5,214.89 and 2,017.70

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Solution

The fourth proportional to 3,477.52, 5,214.89 and 2,017.70 is: 3,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.52 : 5,214.89 = 2,017.70 : x
  2. Step 2: Convert to fraction form
    3,477.52/5,214.89 = 2,017.70/x
  3. Step 3: Cross multiply
    3,477.52x = 5,214.89 × 2,017.70
  4. Step 4: Simplify right side
    3,477.52x = 10,522,062.52
  5. Step 5: Solve for x
    x = 10,522,062.52/3,477.52
  6. Step 6: Final answer
    x = 3,025.74

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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.