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Finding the Fourth Proportional to 3,404.02, 4,697.88 and 2,078.62

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Solution

The fourth proportional to 3,404.02, 4,697.88 and 2,078.62 is: 2,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.02 : 4,697.88 = 2,078.62 : x
  2. Step 2: Convert to fraction form
    3,404.02/4,697.88 = 2,078.62/x
  3. Step 3: Cross multiply
    3,404.02x = 4,697.88 × 2,078.62
  4. Step 4: Simplify right side
    3,404.02x = 9,765,107.33
  5. Step 5: Solve for x
    x = 9,765,107.33/3,404.02
  6. Step 6: Final answer
    x = 2,868.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.