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Finding the Fourth Proportional to 6,055.84, 9,083.51 and 2,108

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Solution

The fourth proportional to 6,055.84, 9,083.51 and 2,108 is: 3,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.84 : 9,083.51 = 2,108 : x
  2. Step 2: Convert to fraction form
    6,055.84/9,083.51 = 2,108/x
  3. Step 3: Cross multiply
    6,055.84x = 9,083.51 × 2,108
  4. Step 4: Simplify right side
    6,055.84x = 19,148,039.08
  5. Step 5: Solve for x
    x = 19,148,039.08/6,055.84
  6. Step 6: Final answer
    x = 3,161.91

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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.