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Finding the Fourth Proportional to 3,774.69, 5,662.35 and 1,309.46

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Solution

The fourth proportional to 3,774.69, 5,662.35 and 1,309.46 is: 1,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.69 : 5,662.35 = 1,309.46 : x
  2. Step 2: Convert to fraction form
    3,774.69/5,662.35 = 1,309.46/x
  3. Step 3: Cross multiply
    3,774.69x = 5,662.35 × 1,309.46
  4. Step 4: Simplify right side
    3,774.69x = 7,414,592.52
  5. Step 5: Solve for x
    x = 7,414,592.52/3,774.69
  6. Step 6: Final answer
    x = 1,964.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.