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Finding the Fourth Proportional to 5,823.47, 8,729.06 and 3,969.99

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Solution

The fourth proportional to 5,823.47, 8,729.06 and 3,969.99 is: 5,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.47 : 8,729.06 = 3,969.99 : x
  2. Step 2: Convert to fraction form
    5,823.47/8,729.06 = 3,969.99/x
  3. Step 3: Cross multiply
    5,823.47x = 8,729.06 × 3,969.99
  4. Step 4: Simplify right side
    5,823.47x = 34,654,261.06
  5. Step 5: Solve for x
    x = 34,654,261.06/5,823.47
  6. Step 6: Final answer
    x = 5,950.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.