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Finding the Fourth Proportional to 3,706, 5,559.89 and 1,109.01

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Solution

The fourth proportional to 3,706, 5,559.89 and 1,109.01 is: 1,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706 : 5,559.89 = 1,109.01 : x
  2. Step 2: Convert to fraction form
    3,706/5,559.89 = 1,109.01/x
  3. Step 3: Cross multiply
    3,706x = 5,559.89 × 1,109.01
  4. Step 4: Simplify right side
    3,706x = 6,165,973.61
  5. Step 5: Solve for x
    x = 6,165,973.61/3,706
  6. Step 6: Final answer
    x = 1,663.78

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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.