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Finding the Fourth Proportional to 2,405.88, 3,596.09 and 2,091.06

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Solution

The fourth proportional to 2,405.88, 3,596.09 and 2,091.06 is: 3,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.88 : 3,596.09 = 2,091.06 : x
  2. Step 2: Convert to fraction form
    2,405.88/3,596.09 = 2,091.06/x
  3. Step 3: Cross multiply
    2,405.88x = 3,596.09 × 2,091.06
  4. Step 4: Simplify right side
    2,405.88x = 7,519,645.18
  5. Step 5: Solve for x
    x = 7,519,645.18/2,405.88
  6. Step 6: Final answer
    x = 3,125.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.