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Finding the Fourth Proportional to 5,270.78, 7,277.10 and 3,383.08

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Solution

The fourth proportional to 5,270.78, 7,277.10 and 3,383.08 is: 4,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.78 : 7,277.10 = 3,383.08 : x
  2. Step 2: Convert to fraction form
    5,270.78/7,277.10 = 3,383.08/x
  3. Step 3: Cross multiply
    5,270.78x = 7,277.10 × 3,383.08
  4. Step 4: Simplify right side
    5,270.78x = 24,619,011.47
  5. Step 5: Solve for x
    x = 24,619,011.47/5,270.78
  6. Step 6: Final answer
    x = 4,670.85

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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.