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Finding the Fourth Proportional to 3,134.42, 4,678.75 and 2,906

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Solution

The fourth proportional to 3,134.42, 4,678.75 and 2,906 is: 4,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.42 : 4,678.75 = 2,906 : x
  2. Step 2: Convert to fraction form
    3,134.42/4,678.75 = 2,906/x
  3. Step 3: Cross multiply
    3,134.42x = 4,678.75 × 2,906
  4. Step 4: Simplify right side
    3,134.42x = 13,596,432.97
  5. Step 5: Solve for x
    x = 13,596,432.97/3,134.42
  6. Step 6: Final answer
    x = 4,337.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.