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Finding the Fourth Proportional to 5,739.37, 7,920.90 and 3,502.74

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Solution

The fourth proportional to 5,739.37, 7,920.90 and 3,502.74 is: 4,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.37 : 7,920.90 = 3,502.74 : x
  2. Step 2: Convert to fraction form
    5,739.37/7,920.90 = 3,502.74/x
  3. Step 3: Cross multiply
    5,739.37x = 7,920.90 × 3,502.74
  4. Step 4: Simplify right side
    5,739.37x = 27,744,853.27
  5. Step 5: Solve for x
    x = 27,744,853.27/5,739.37
  6. Step 6: Final answer
    x = 4,834.13

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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.