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Finding the Fourth Proportional to 5,342.05, 7,369.63 and 3,102.71

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Solution

The fourth proportional to 5,342.05, 7,369.63 and 3,102.71 is: 4,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.05 : 7,369.63 = 3,102.71 : x
  2. Step 2: Convert to fraction form
    5,342.05/7,369.63 = 3,102.71/x
  3. Step 3: Cross multiply
    5,342.05x = 7,369.63 × 3,102.71
  4. Step 4: Simplify right side
    5,342.05x = 22,865,790.76
  5. Step 5: Solve for x
    x = 22,865,790.76/5,342.05
  6. Step 6: Final answer
    x = 4,280.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.