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Finding the Fourth Proportional to 5,759, 7,947.54 and 3,403.64

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Solution

The fourth proportional to 5,759, 7,947.54 and 3,403.64 is: 4,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759 : 7,947.54 = 3,403.64 : x
  2. Step 2: Convert to fraction form
    5,759/7,947.54 = 3,403.64/x
  3. Step 3: Cross multiply
    5,759x = 7,947.54 × 3,403.64
  4. Step 4: Simplify right side
    5,759x = 27,050,565.05
  5. Step 5: Solve for x
    x = 27,050,565.05/5,759
  6. Step 6: Final answer
    x = 4,697.09

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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.