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Finding the Fourth Proportional to 3,774.41, 5,659.70 and 1,308.56

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Solution

The fourth proportional to 3,774.41, 5,659.70 and 1,308.56 is: 1,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.41 : 5,659.70 = 1,308.56 : x
  2. Step 2: Convert to fraction form
    3,774.41/5,659.70 = 1,308.56/x
  3. Step 3: Cross multiply
    3,774.41x = 5,659.70 × 1,308.56
  4. Step 4: Simplify right side
    3,774.41x = 7,406,022.19
  5. Step 5: Solve for x
    x = 7,406,022.19/3,774.41
  6. Step 6: Final answer
    x = 1,962.17

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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.