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Finding the Fourth Proportional to 4,065.74, 5,610.65 and 2,297.31

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Solution

The fourth proportional to 4,065.74, 5,610.65 and 2,297.31 is: 3,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.74 : 5,610.65 = 2,297.31 : x
  2. Step 2: Convert to fraction form
    4,065.74/5,610.65 = 2,297.31/x
  3. Step 3: Cross multiply
    4,065.74x = 5,610.65 × 2,297.31
  4. Step 4: Simplify right side
    4,065.74x = 12,889,384.18
  5. Step 5: Solve for x
    x = 12,889,384.18/4,065.74
  6. Step 6: Final answer
    x = 3,170.24

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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.