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Finding the Fourth Proportional to 4,208.36, 5,805.98 and 2,529.16

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Solution

The fourth proportional to 4,208.36, 5,805.98 and 2,529.16 is: 3,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.36 : 5,805.98 = 2,529.16 : x
  2. Step 2: Convert to fraction form
    4,208.36/5,805.98 = 2,529.16/x
  3. Step 3: Cross multiply
    4,208.36x = 5,805.98 × 2,529.16
  4. Step 4: Simplify right side
    4,208.36x = 14,684,252.38
  5. Step 5: Solve for x
    x = 14,684,252.38/4,208.36
  6. Step 6: Final answer
    x = 3,489.31

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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.