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Finding the Fourth Proportional to 3,599, 4,968.78 and 2,359.16

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Solution

The fourth proportional to 3,599, 4,968.78 and 2,359.16 is: 3,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599 : 4,968.78 = 2,359.16 : x
  2. Step 2: Convert to fraction form
    3,599/4,968.78 = 2,359.16/x
  3. Step 3: Cross multiply
    3,599x = 4,968.78 × 2,359.16
  4. Step 4: Simplify right side
    3,599x = 11,722,147.02
  5. Step 5: Solve for x
    x = 11,722,147.02/3,599
  6. Step 6: Final answer
    x = 3,257.06

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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.