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Finding the Fourth Proportional to 5,693.09, 7,857 and 3,454.45

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Solution

The fourth proportional to 5,693.09, 7,857 and 3,454.45 is: 4,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.09 : 7,857 = 3,454.45 : x
  2. Step 2: Convert to fraction form
    5,693.09/7,857 = 3,454.45/x
  3. Step 3: Cross multiply
    5,693.09x = 7,857 × 3,454.45
  4. Step 4: Simplify right side
    5,693.09x = 27,141,594.01
  5. Step 5: Solve for x
    x = 27,141,594.01/5,693.09
  6. Step 6: Final answer
    x = 4,767.47

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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.