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Finding the Fourth Proportional to 4,208.75, 5,807.39 and 2,529.75

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Solution

The fourth proportional to 4,208.75, 5,807.39 and 2,529.75 is: 3,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.75 : 5,807.39 = 2,529.75 : x
  2. Step 2: Convert to fraction form
    4,208.75/5,807.39 = 2,529.75/x
  3. Step 3: Cross multiply
    4,208.75x = 5,807.39 × 2,529.75
  4. Step 4: Simplify right side
    4,208.75x = 14,691,244.85
  5. Step 5: Solve for x
    x = 14,691,244.85/4,208.75
  6. Step 6: Final answer
    x = 3,490.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.