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Finding the Fourth Proportional to 3,580.93, 4,942.11 and 2,323.36

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Solution

The fourth proportional to 3,580.93, 4,942.11 and 2,323.36 is: 3,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.93 : 4,942.11 = 2,323.36 : x
  2. Step 2: Convert to fraction form
    3,580.93/4,942.11 = 2,323.36/x
  3. Step 3: Cross multiply
    3,580.93x = 4,942.11 × 2,323.36
  4. Step 4: Simplify right side
    3,580.93x = 11,482,300.69
  5. Step 5: Solve for x
    x = 11,482,300.69/3,580.93
  6. Step 6: Final answer
    x = 3,206.51

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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.