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Finding the Fourth Proportional to 4,728.34, 7,092.54 and 1,767.45

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Solution

The fourth proportional to 4,728.34, 7,092.54 and 1,767.45 is: 2,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.34 : 7,092.54 = 1,767.45 : x
  2. Step 2: Convert to fraction form
    4,728.34/7,092.54 = 1,767.45/x
  3. Step 3: Cross multiply
    4,728.34x = 7,092.54 × 1,767.45
  4. Step 4: Simplify right side
    4,728.34x = 12,535,709.82
  5. Step 5: Solve for x
    x = 12,535,709.82/4,728.34
  6. Step 6: Final answer
    x = 2,651.19

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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.