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Finding the Fourth Proportional to 3,830.78, 5,290.92 and 3,066.90

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Solution

The fourth proportional to 3,830.78, 5,290.92 and 3,066.90 is: 4,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.78 : 5,290.92 = 3,066.90 : x
  2. Step 2: Convert to fraction form
    3,830.78/5,290.92 = 3,066.90/x
  3. Step 3: Cross multiply
    3,830.78x = 5,290.92 × 3,066.90
  4. Step 4: Simplify right side
    3,830.78x = 16,226,722.55
  5. Step 5: Solve for x
    x = 16,226,722.55/3,830.78
  6. Step 6: Final answer
    x = 4,235.89

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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.