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Finding the Fourth Proportional to 3,860.70, 5,790.93 and 2,116.77

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Solution

The fourth proportional to 3,860.70, 5,790.93 and 2,116.77 is: 3,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.70 : 5,790.93 = 2,116.77 : x
  2. Step 2: Convert to fraction form
    3,860.70/5,790.93 = 2,116.77/x
  3. Step 3: Cross multiply
    3,860.70x = 5,790.93 × 2,116.77
  4. Step 4: Simplify right side
    3,860.70x = 12,258,066.90
  5. Step 5: Solve for x
    x = 12,258,066.90/3,860.70
  6. Step 6: Final answer
    x = 3,175.09

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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.