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Finding the Fourth Proportional to 5,660.02, 7,811.13 and 3,302.02

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Solution

The fourth proportional to 5,660.02, 7,811.13 and 3,302.02 is: 4,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.02 : 7,811.13 = 3,302.02 : x
  2. Step 2: Convert to fraction form
    5,660.02/7,811.13 = 3,302.02/x
  3. Step 3: Cross multiply
    5,660.02x = 7,811.13 × 3,302.02
  4. Step 4: Simplify right side
    5,660.02x = 25,792,507.48
  5. Step 5: Solve for x
    x = 25,792,507.48/5,660.02
  6. Step 6: Final answer
    x = 4,556.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.