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Finding the Fourth Proportional to 5,230.64, 7,847.03 and 4,707.81

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Solution

The fourth proportional to 5,230.64, 7,847.03 and 4,707.81 is: 7,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.64 : 7,847.03 = 4,707.81 : x
  2. Step 2: Convert to fraction form
    5,230.64/7,847.03 = 4,707.81/x
  3. Step 3: Cross multiply
    5,230.64x = 7,847.03 × 4,707.81
  4. Step 4: Simplify right side
    5,230.64x = 36,942,338.07
  5. Step 5: Solve for x
    x = 36,942,338.07/5,230.64
  6. Step 6: Final answer
    x = 7,062.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.