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Finding the Fourth Proportional to 3,419.34, 5,129.28 and 1,228.28

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Solution

The fourth proportional to 3,419.34, 5,129.28 and 1,228.28 is: 1,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.34 : 5,129.28 = 1,228.28 : x
  2. Step 2: Convert to fraction form
    3,419.34/5,129.28 = 1,228.28/x
  3. Step 3: Cross multiply
    3,419.34x = 5,129.28 × 1,228.28
  4. Step 4: Simplify right side
    3,419.34x = 6,300,192.04
  5. Step 5: Solve for x
    x = 6,300,192.04/3,419.34
  6. Step 6: Final answer
    x = 1,842.52

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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.