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Finding the Fourth Proportional to 5,133.88, 7,707.20 and 3,583.74

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Solution

The fourth proportional to 5,133.88, 7,707.20 and 3,583.74 is: 5,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.88 : 7,707.20 = 3,583.74 : x
  2. Step 2: Convert to fraction form
    5,133.88/7,707.20 = 3,583.74/x
  3. Step 3: Cross multiply
    5,133.88x = 7,707.20 × 3,583.74
  4. Step 4: Simplify right side
    5,133.88x = 27,620,600.93
  5. Step 5: Solve for x
    x = 27,620,600.93/5,133.88
  6. Step 6: Final answer
    x = 5,380.06

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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.