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Finding the Fourth Proportional to 5,325.87, 7,976.49 and 5,141.34

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Solution

The fourth proportional to 5,325.87, 7,976.49 and 5,141.34 is: 7,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.87 : 7,976.49 = 5,141.34 : x
  2. Step 2: Convert to fraction form
    5,325.87/7,976.49 = 5,141.34/x
  3. Step 3: Cross multiply
    5,325.87x = 7,976.49 × 5,141.34
  4. Step 4: Simplify right side
    5,325.87x = 41,009,847.10
  5. Step 5: Solve for x
    x = 41,009,847.10/5,325.87
  6. Step 6: Final answer
    x = 7,700.12

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Why These Related Problems?

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