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Finding the Fourth Proportional to 3,756.58, 5,660.22 and 3,112.77

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Solution

The fourth proportional to 3,756.58, 5,660.22 and 3,112.77 is: 4,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.58 : 5,660.22 = 3,112.77 : x
  2. Step 2: Convert to fraction form
    3,756.58/5,660.22 = 3,112.77/x
  3. Step 3: Cross multiply
    3,756.58x = 5,660.22 × 3,112.77
  4. Step 4: Simplify right side
    3,756.58x = 17,618,995.91
  5. Step 5: Solve for x
    x = 17,618,995.91/3,756.58
  6. Step 6: Final answer
    x = 4,690.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.