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Finding the Fourth Proportional to 5,238.64, 7,229.34 and 2,880.93

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Solution

The fourth proportional to 5,238.64, 7,229.34 and 2,880.93 is: 3,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.64 : 7,229.34 = 2,880.93 : x
  2. Step 2: Convert to fraction form
    5,238.64/7,229.34 = 2,880.93/x
  3. Step 3: Cross multiply
    5,238.64x = 7,229.34 × 2,880.93
  4. Step 4: Simplify right side
    5,238.64x = 20,827,186.34
  5. Step 5: Solve for x
    x = 20,827,186.34/5,238.64
  6. Step 6: Final answer
    x = 3,975.69

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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.