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Finding the Fourth Proportional to 5,213.84, 7,152.24 and 4,931.37

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Solution

The fourth proportional to 5,213.84, 7,152.24 and 4,931.37 is: 6,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.84 : 7,152.24 = 4,931.37 : x
  2. Step 2: Convert to fraction form
    5,213.84/7,152.24 = 4,931.37/x
  3. Step 3: Cross multiply
    5,213.84x = 7,152.24 × 4,931.37
  4. Step 4: Simplify right side
    5,213.84x = 35,270,360.26
  5. Step 5: Solve for x
    x = 35,270,360.26/5,213.84
  6. Step 6: Final answer
    x = 6,764.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.