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Finding the Fourth Proportional to 3,404.08, 4,695.72 and 2,078.08

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Solution

The fourth proportional to 3,404.08, 4,695.72 and 2,078.08 is: 2,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.08 : 4,695.72 = 2,078.08 : x
  2. Step 2: Convert to fraction form
    3,404.08/4,695.72 = 2,078.08/x
  3. Step 3: Cross multiply
    3,404.08x = 4,695.72 × 2,078.08
  4. Step 4: Simplify right side
    3,404.08x = 9,758,081.82
  5. Step 5: Solve for x
    x = 9,758,081.82/3,404.08
  6. Step 6: Final answer
    x = 2,866.58

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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.