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Finding the Fourth Proportional to 4,065.86, 5,610.20 and 2,297.43

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Solution

The fourth proportional to 4,065.86, 5,610.20 and 2,297.43 is: 3,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.86 : 5,610.20 = 2,297.43 : x
  2. Step 2: Convert to fraction form
    4,065.86/5,610.20 = 2,297.43/x
  3. Step 3: Cross multiply
    4,065.86x = 5,610.20 × 2,297.43
  4. Step 4: Simplify right side
    4,065.86x = 12,889,030.30
  5. Step 5: Solve for x
    x = 12,889,030.30/4,065.86
  6. Step 6: Final answer
    x = 3,170.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.