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Finding the Fourth Proportional to 3,736.54, 5,605.80 and 1,139.50

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Solution

The fourth proportional to 3,736.54, 5,605.80 and 1,139.50 is: 1,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.54 : 5,605.80 = 1,139.50 : x
  2. Step 2: Convert to fraction form
    3,736.54/5,605.80 = 1,139.50/x
  3. Step 3: Cross multiply
    3,736.54x = 5,605.80 × 1,139.50
  4. Step 4: Simplify right side
    3,736.54x = 6,387,809.10
  5. Step 5: Solve for x
    x = 6,387,809.10/3,736.54
  6. Step 6: Final answer
    x = 1,709.55

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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.