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Finding the Fourth Proportional to 4,123.05, 6,175.00 and 4,092.32

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Solution

The fourth proportional to 4,123.05, 6,175.00 and 4,092.32 is: 6,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.05 : 6,175.00 = 4,092.32 : x
  2. Step 2: Convert to fraction form
    4,123.05/6,175.00 = 4,092.32/x
  3. Step 3: Cross multiply
    4,123.05x = 6,175.00 × 4,092.32
  4. Step 4: Simplify right side
    4,123.05x = 25,270,061.82
  5. Step 5: Solve for x
    x = 25,270,061.82/4,123.05
  6. Step 6: Final answer
    x = 6,128.98

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