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Finding the Fourth Proportional to 3,036, 4,188.96 and 1,709.44

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Solution

The fourth proportional to 3,036, 4,188.96 and 1,709.44 is: 2,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036 : 4,188.96 = 1,709.44 : x
  2. Step 2: Convert to fraction form
    3,036/4,188.96 = 1,709.44/x
  3. Step 3: Cross multiply
    3,036x = 4,188.96 × 1,709.44
  4. Step 4: Simplify right side
    3,036x = 7,160,775.78
  5. Step 5: Solve for x
    x = 7,160,775.78/3,036
  6. Step 6: Final answer
    x = 2,358.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.