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Finding the Fourth Proportional to 4,208.17, 6,304.02 and 2,560.63

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Solution

The fourth proportional to 4,208.17, 6,304.02 and 2,560.63 is: 3,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.17 : 6,304.02 = 2,560.63 : x
  2. Step 2: Convert to fraction form
    4,208.17/6,304.02 = 2,560.63/x
  3. Step 3: Cross multiply
    4,208.17x = 6,304.02 × 2,560.63
  4. Step 4: Simplify right side
    4,208.17x = 16,142,262.73
  5. Step 5: Solve for x
    x = 16,142,262.73/4,208.17
  6. Step 6: Final answer
    x = 3,835.93

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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.