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Finding the Fourth Proportional to 4,272.41, 6,400.91 and 4,015.08

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Solution

The fourth proportional to 4,272.41, 6,400.91 and 4,015.08 is: 6,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.41 : 6,400.91 = 4,015.08 : x
  2. Step 2: Convert to fraction form
    4,272.41/6,400.91 = 4,015.08/x
  3. Step 3: Cross multiply
    4,272.41x = 6,400.91 × 4,015.08
  4. Step 4: Simplify right side
    4,272.41x = 25,700,145.65
  5. Step 5: Solve for x
    x = 25,700,145.65/4,272.41
  6. Step 6: Final answer
    x = 6,015.38

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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.