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Finding the Fourth Proportional to 3,906.71, 5,860.64 and 1,133.40

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Solution

The fourth proportional to 3,906.71, 5,860.64 and 1,133.40 is: 1,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.71 : 5,860.64 = 1,133.40 : x
  2. Step 2: Convert to fraction form
    3,906.71/5,860.64 = 1,133.40/x
  3. Step 3: Cross multiply
    3,906.71x = 5,860.64 × 1,133.40
  4. Step 4: Simplify right side
    3,906.71x = 6,642,434.85
  5. Step 5: Solve for x
    x = 6,642,434.85/3,906.71
  6. Step 6: Final answer
    x = 1,700.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.