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Finding the Fourth Proportional to 3,404.74, 5,101.91 and 1,429.30

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Solution

The fourth proportional to 3,404.74, 5,101.91 and 1,429.30 is: 2,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.74 : 5,101.91 = 1,429.30 : x
  2. Step 2: Convert to fraction form
    3,404.74/5,101.91 = 1,429.30/x
  3. Step 3: Cross multiply
    3,404.74x = 5,101.91 × 1,429.30
  4. Step 4: Simplify right side
    3,404.74x = 7,292,127.31
  5. Step 5: Solve for x
    x = 7,292,127.31/3,404.74
  6. Step 6: Final answer
    x = 2,141.76

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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.