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Finding the Fourth Proportional to 3,599.88, 4,967.75 and 2,006.52

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Solution

The fourth proportional to 3,599.88, 4,967.75 and 2,006.52 is: 2,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.88 : 4,967.75 = 2,006.52 : x
  2. Step 2: Convert to fraction form
    3,599.88/4,967.75 = 2,006.52/x
  3. Step 3: Cross multiply
    3,599.88x = 4,967.75 × 2,006.52
  4. Step 4: Simplify right side
    3,599.88x = 9,967,904.06
  5. Step 5: Solve for x
    x = 9,967,904.06/3,599.88
  6. Step 6: Final answer
    x = 2,768.96

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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.