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Finding the Fourth Proportional to 3,811.77, 5,680.24 and 3,686.36

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Solution

The fourth proportional to 3,811.77, 5,680.24 and 3,686.36 is: 5,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.77 : 5,680.24 = 3,686.36 : x
  2. Step 2: Convert to fraction form
    3,811.77/5,680.24 = 3,686.36/x
  3. Step 3: Cross multiply
    3,811.77x = 5,680.24 × 3,686.36
  4. Step 4: Simplify right side
    3,811.77x = 20,939,371.91
  5. Step 5: Solve for x
    x = 20,939,371.91/3,811.77
  6. Step 6: Final answer
    x = 5,493.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.