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Finding the Fourth Proportional to 3,736.64, 5,605.50 and 1,139.24

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Solution

The fourth proportional to 3,736.64, 5,605.50 and 1,139.24 is: 1,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.64 : 5,605.50 = 1,139.24 : x
  2. Step 2: Convert to fraction form
    3,736.64/5,605.50 = 1,139.24/x
  3. Step 3: Cross multiply
    3,736.64x = 5,605.50 × 1,139.24
  4. Step 4: Simplify right side
    3,736.64x = 6,386,009.82
  5. Step 5: Solve for x
    x = 6,386,009.82/3,736.64
  6. Step 6: Final answer
    x = 1,709.02

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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.