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Finding the Fourth Proportional to 5,079, 7,011.90 and 3,834.84

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Solution

The fourth proportional to 5,079, 7,011.90 and 3,834.84 is: 5,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,079 : 7,011.90 = 3,834.84 : x
  2. Step 2: Convert to fraction form
    5,079/7,011.90 = 3,834.84/x
  3. Step 3: Cross multiply
    5,079x = 7,011.90 × 3,834.84
  4. Step 4: Simplify right side
    5,079x = 26,889,514.60
  5. Step 5: Solve for x
    x = 26,889,514.60/5,079
  6. Step 6: Final answer
    x = 5,294.25

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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.