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Finding the Fourth Proportional to 5,749.81, 7,934.46 and 3,515.42

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Solution

The fourth proportional to 5,749.81, 7,934.46 and 3,515.42 is: 4,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.81 : 7,934.46 = 3,515.42 : x
  2. Step 2: Convert to fraction form
    5,749.81/7,934.46 = 3,515.42/x
  3. Step 3: Cross multiply
    5,749.81x = 7,934.46 × 3,515.42
  4. Step 4: Simplify right side
    5,749.81x = 27,892,959.37
  5. Step 5: Solve for x
    x = 27,892,959.37/5,749.81
  6. Step 6: Final answer
    x = 4,851.11

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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.