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Finding the Fourth Proportional to 4,071.50, 5,616.79 and 2,392.38

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Solution

The fourth proportional to 4,071.50, 5,616.79 and 2,392.38 is: 3,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.50 : 5,616.79 = 2,392.38 : x
  2. Step 2: Convert to fraction form
    4,071.50/5,616.79 = 2,392.38/x
  3. Step 3: Cross multiply
    4,071.50x = 5,616.79 × 2,392.38
  4. Step 4: Simplify right side
    4,071.50x = 13,437,496.06
  5. Step 5: Solve for x
    x = 13,437,496.06/4,071.50
  6. Step 6: Final answer
    x = 3,300.38

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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.