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Finding the Fourth Proportional to 3,420.74, 5,128.02 and 1,228.97

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Solution

The fourth proportional to 3,420.74, 5,128.02 and 1,228.97 is: 1,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.74 : 5,128.02 = 1,228.97 : x
  2. Step 2: Convert to fraction form
    3,420.74/5,128.02 = 1,228.97/x
  3. Step 3: Cross multiply
    3,420.74x = 5,128.02 × 1,228.97
  4. Step 4: Simplify right side
    3,420.74x = 6,302,157.10
  5. Step 5: Solve for x
    x = 6,302,157.10/3,420.74
  6. Step 6: Final answer
    x = 1,842.34

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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.