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Finding the Fourth Proportional to 3,707.82, 5,561.90 and 1,110.50

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Solution

The fourth proportional to 3,707.82, 5,561.90 and 1,110.50 is: 1,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.82 : 5,561.90 = 1,110.50 : x
  2. Step 2: Convert to fraction form
    3,707.82/5,561.90 = 1,110.50/x
  3. Step 3: Cross multiply
    3,707.82x = 5,561.90 × 1,110.50
  4. Step 4: Simplify right side
    3,707.82x = 6,176,489.95
  5. Step 5: Solve for x
    x = 6,176,489.95/3,707.82
  6. Step 6: Final answer
    x = 1,665.80

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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.