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Finding the Fourth Proportional to 5,693.51, 7,857.08 and 3,175.79

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Solution

The fourth proportional to 5,693.51, 7,857.08 and 3,175.79 is: 4,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.51 : 7,857.08 = 3,175.79 : x
  2. Step 2: Convert to fraction form
    5,693.51/7,857.08 = 3,175.79/x
  3. Step 3: Cross multiply
    5,693.51x = 7,857.08 × 3,175.79
  4. Step 4: Simplify right side
    5,693.51x = 24,952,380.93
  5. Step 5: Solve for x
    x = 24,952,380.93/5,693.51
  6. Step 6: Final answer
    x = 4,382.60

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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.