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Finding the Fourth Proportional to 5,152.14, 7,729.02 and 2,232.45

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Solution

The fourth proportional to 5,152.14, 7,729.02 and 2,232.45 is: 3,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.14 : 7,729.02 = 2,232.45 : x
  2. Step 2: Convert to fraction form
    5,152.14/7,729.02 = 2,232.45/x
  3. Step 3: Cross multiply
    5,152.14x = 7,729.02 × 2,232.45
  4. Step 4: Simplify right side
    5,152.14x = 17,254,650.70
  5. Step 5: Solve for x
    x = 17,254,650.70/5,152.14
  6. Step 6: Final answer
    x = 3,349.03

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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.