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Finding the Fourth Proportional to 3,848.69, 5,311.47 and 2,902.82

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Solution

The fourth proportional to 3,848.69, 5,311.47 and 2,902.82 is: 4,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.69 : 5,311.47 = 2,902.82 : x
  2. Step 2: Convert to fraction form
    3,848.69/5,311.47 = 2,902.82/x
  3. Step 3: Cross multiply
    3,848.69x = 5,311.47 × 2,902.82
  4. Step 4: Simplify right side
    3,848.69x = 15,418,214.79
  5. Step 5: Solve for x
    x = 15,418,214.79/3,848.69
  6. Step 6: Final answer
    x = 4,006.10

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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.