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Finding the Fourth Proportional to 5,693.24, 7,857.78 and 3,335.64

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Solution

The fourth proportional to 5,693.24, 7,857.78 and 3,335.64 is: 4,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.24 : 7,857.78 = 3,335.64 : x
  2. Step 2: Convert to fraction form
    5,693.24/7,857.78 = 3,335.64/x
  3. Step 3: Cross multiply
    5,693.24x = 7,857.78 × 3,335.64
  4. Step 4: Simplify right side
    5,693.24x = 26,210,725.28
  5. Step 5: Solve for x
    x = 26,210,725.28/5,693.24
  6. Step 6: Final answer
    x = 4,603.83

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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.