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Finding the Fourth Proportional to 3,906.84, 5,860.29 and 1,133.70

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Solution

The fourth proportional to 3,906.84, 5,860.29 and 1,133.70 is: 1,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.84 : 5,860.29 = 1,133.70 : x
  2. Step 2: Convert to fraction form
    3,906.84/5,860.29 = 1,133.70/x
  3. Step 3: Cross multiply
    3,906.84x = 5,860.29 × 1,133.70
  4. Step 4: Simplify right side
    3,906.84x = 6,643,810.77
  5. Step 5: Solve for x
    x = 6,643,810.77/3,906.84
  6. Step 6: Final answer
    x = 1,700.56

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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.