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Finding the Fourth Proportional to 3,455.72, 4,767.06 and 2,335.16

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Solution

The fourth proportional to 3,455.72, 4,767.06 and 2,335.16 is: 3,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.72 : 4,767.06 = 2,335.16 : x
  2. Step 2: Convert to fraction form
    3,455.72/4,767.06 = 2,335.16/x
  3. Step 3: Cross multiply
    3,455.72x = 4,767.06 × 2,335.16
  4. Step 4: Simplify right side
    3,455.72x = 11,131,847.83
  5. Step 5: Solve for x
    x = 11,131,847.83/3,455.72
  6. Step 6: Final answer
    x = 3,221.28

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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.