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Finding the Fourth Proportional to 4,208.66, 6,306 and 2,560.22

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Solution

The fourth proportional to 4,208.66, 6,306 and 2,560.22 is: 3,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.66 : 6,306 = 2,560.22 : x
  2. Step 2: Convert to fraction form
    4,208.66/6,306 = 2,560.22/x
  3. Step 3: Cross multiply
    4,208.66x = 6,306 × 2,560.22
  4. Step 4: Simplify right side
    4,208.66x = 16,144,747.32
  5. Step 5: Solve for x
    x = 16,144,747.32/4,208.66
  6. Step 6: Final answer
    x = 3,836.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.