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Finding the Fourth Proportional to 4,406.75, 6,610.12 and 2,570.68

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Solution

The fourth proportional to 4,406.75, 6,610.12 and 2,570.68 is: 3,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.75 : 6,610.12 = 2,570.68 : x
  2. Step 2: Convert to fraction form
    4,406.75/6,610.12 = 2,570.68/x
  3. Step 3: Cross multiply
    4,406.75x = 6,610.12 × 2,570.68
  4. Step 4: Simplify right side
    4,406.75x = 16,992,480.33
  5. Step 5: Solve for x
    x = 16,992,480.33/4,406.75
  6. Step 6: Final answer
    x = 3,856.02

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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.