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Finding the Fourth Proportional to 4,291.56, 6,419.54 and 4,029.12

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Solution

The fourth proportional to 4,291.56, 6,419.54 and 4,029.12 is: 6,026.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.56 : 6,419.54 = 4,029.12 : x
  2. Step 2: Convert to fraction form
    4,291.56/6,419.54 = 4,029.12/x
  3. Step 3: Cross multiply
    4,291.56x = 6,419.54 × 4,029.12
  4. Step 4: Simplify right side
    4,291.56x = 25,865,107.08
  5. Step 5: Solve for x
    x = 25,865,107.08/4,291.56
  6. Step 6: Final answer
    x = 6,026.97

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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.