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Finding the Fourth Proportional to 4,109.84, 6,167.13 and 1,737.73

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Solution

The fourth proportional to 4,109.84, 6,167.13 and 1,737.73 is: 2,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.84 : 6,167.13 = 1,737.73 : x
  2. Step 2: Convert to fraction form
    4,109.84/6,167.13 = 1,737.73/x
  3. Step 3: Cross multiply
    4,109.84x = 6,167.13 × 1,737.73
  4. Step 4: Simplify right side
    4,109.84x = 10,716,806.81
  5. Step 5: Solve for x
    x = 10,716,806.81/4,109.84
  6. Step 6: Final answer
    x = 2,607.60

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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.