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Finding the Fourth Proportional to 5,156.04, 7,728.60 and 2,234.58

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Solution

The fourth proportional to 5,156.04, 7,728.60 and 2,234.58 is: 3,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.04 : 7,728.60 = 2,234.58 : x
  2. Step 2: Convert to fraction form
    5,156.04/7,728.60 = 2,234.58/x
  3. Step 3: Cross multiply
    5,156.04x = 7,728.60 × 2,234.58
  4. Step 4: Simplify right side
    5,156.04x = 17,270,174.99
  5. Step 5: Solve for x
    x = 17,270,174.99/5,156.04
  6. Step 6: Final answer
    x = 3,349.50

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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.