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Finding the Fourth Proportional to 3,601.61, 4,968.21 and 2,109.24

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Solution

The fourth proportional to 3,601.61, 4,968.21 and 2,109.24 is: 2,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.61 : 4,968.21 = 2,109.24 : x
  2. Step 2: Convert to fraction form
    3,601.61/4,968.21 = 2,109.24/x
  3. Step 3: Cross multiply
    3,601.61x = 4,968.21 × 2,109.24
  4. Step 4: Simplify right side
    3,601.61x = 10,479,155.17
  5. Step 5: Solve for x
    x = 10,479,155.17/3,601.61
  6. Step 6: Final answer
    x = 2,909.58

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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.