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Finding the Fourth Proportional to 5,430.96, 7,494.66 and 3,861.81

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Solution

The fourth proportional to 5,430.96, 7,494.66 and 3,861.81 is: 5,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.96 : 7,494.66 = 3,861.81 : x
  2. Step 2: Convert to fraction form
    5,430.96/7,494.66 = 3,861.81/x
  3. Step 3: Cross multiply
    5,430.96x = 7,494.66 × 3,861.81
  4. Step 4: Simplify right side
    5,430.96x = 28,942,952.93
  5. Step 5: Solve for x
    x = 28,942,952.93/5,430.96
  6. Step 6: Final answer
    x = 5,329.25

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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.