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Finding the Fourth Proportional to 5,747.06, 7,931.81 and 3,510.24

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Solution

The fourth proportional to 5,747.06, 7,931.81 and 3,510.24 is: 4,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.06 : 7,931.81 = 3,510.24 : x
  2. Step 2: Convert to fraction form
    5,747.06/7,931.81 = 3,510.24/x
  3. Step 3: Cross multiply
    5,747.06x = 7,931.81 × 3,510.24
  4. Step 4: Simplify right side
    5,747.06x = 27,842,556.73
  5. Step 5: Solve for x
    x = 27,842,556.73/5,747.06
  6. Step 6: Final answer
    x = 4,844.66

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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.