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Finding the Fourth Proportional to 3,599.78, 4,967.95 and 2,006.53

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Solution

The fourth proportional to 3,599.78, 4,967.95 and 2,006.53 is: 2,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.78 : 4,967.95 = 2,006.53 : x
  2. Step 2: Convert to fraction form
    3,599.78/4,967.95 = 2,006.53/x
  3. Step 3: Cross multiply
    3,599.78x = 4,967.95 × 2,006.53
  4. Step 4: Simplify right side
    3,599.78x = 9,968,335.70
  5. Step 5: Solve for x
    x = 9,968,335.70/3,599.78
  6. Step 6: Final answer
    x = 2,769.16

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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.