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Finding the Fourth Proportional to 5,123.82, 7,070.96 and 3,000.86

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Solution

The fourth proportional to 5,123.82, 7,070.96 and 3,000.86 is: 4,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.82 : 7,070.96 = 3,000.86 : x
  2. Step 2: Convert to fraction form
    5,123.82/7,070.96 = 3,000.86/x
  3. Step 3: Cross multiply
    5,123.82x = 7,070.96 × 3,000.86
  4. Step 4: Simplify right side
    5,123.82x = 21,218,961.03
  5. Step 5: Solve for x
    x = 21,218,961.03/5,123.82
  6. Step 6: Final answer
    x = 4,141.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.