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Finding the Fourth Proportional to 3,906.48, 5,860.08 and 1,133.04

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Solution

The fourth proportional to 3,906.48, 5,860.08 and 1,133.04 is: 1,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.48 : 5,860.08 = 1,133.04 : x
  2. Step 2: Convert to fraction form
    3,906.48/5,860.08 = 1,133.04/x
  3. Step 3: Cross multiply
    3,906.48x = 5,860.08 × 1,133.04
  4. Step 4: Simplify right side
    3,906.48x = 6,639,705.04
  5. Step 5: Solve for x
    x = 6,639,705.04/3,906.48
  6. Step 6: Final answer
    x = 1,699.66

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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.