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Finding the Fourth Proportional to 5,693.35, 7,854.63 and 3,454.42

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Solution

The fourth proportional to 5,693.35, 7,854.63 and 3,454.42 is: 4,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.35 : 7,854.63 = 3,454.42 : x
  2. Step 2: Convert to fraction form
    5,693.35/7,854.63 = 3,454.42/x
  3. Step 3: Cross multiply
    5,693.35x = 7,854.63 × 3,454.42
  4. Step 4: Simplify right side
    5,693.35x = 27,133,190.96
  5. Step 5: Solve for x
    x = 27,133,190.96/5,693.35
  6. Step 6: Final answer
    x = 4,765.77

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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.