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Finding the Fourth Proportional to 4,065.43, 5,610.15 and 2,297.00

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Solution

The fourth proportional to 4,065.43, 5,610.15 and 2,297.00 is: 3,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.43 : 5,610.15 = 2,297.00 : x
  2. Step 2: Convert to fraction form
    4,065.43/5,610.15 = 2,297.00/x
  3. Step 3: Cross multiply
    4,065.43x = 5,610.15 × 2,297.00
  4. Step 4: Simplify right side
    4,065.43x = 12,886,477.89
  5. Step 5: Solve for x
    x = 12,886,477.89/4,065.43
  6. Step 6: Final answer
    x = 3,169.77

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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.