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Finding the Fourth Proportional to 4,101.93, 5,660.15 and 2,309.19

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Solution

The fourth proportional to 4,101.93, 5,660.15 and 2,309.19 is: 3,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.93 : 5,660.15 = 2,309.19 : x
  2. Step 2: Convert to fraction form
    4,101.93/5,660.15 = 2,309.19/x
  3. Step 3: Cross multiply
    4,101.93x = 5,660.15 × 2,309.19
  4. Step 4: Simplify right side
    4,101.93x = 13,070,321.93
  5. Step 5: Solve for x
    x = 13,070,321.93/4,101.93
  6. Step 6: Final answer
    x = 3,186.38

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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.