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Finding the Fourth Proportional to 5,300.09, 7,931.73 and 3,297.96

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Solution

The fourth proportional to 5,300.09, 7,931.73 and 3,297.96 is: 4,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.09 : 7,931.73 = 3,297.96 : x
  2. Step 2: Convert to fraction form
    5,300.09/7,931.73 = 3,297.96/x
  3. Step 3: Cross multiply
    5,300.09x = 7,931.73 × 3,297.96
  4. Step 4: Simplify right side
    5,300.09x = 26,158,528.27
  5. Step 5: Solve for x
    x = 26,158,528.27/5,300.09
  6. Step 6: Final answer
    x = 4,935.49

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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.