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Finding the Fourth Proportional to 5,764.13, 7,957.89 and 5,431.98

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Solution

The fourth proportional to 5,764.13, 7,957.89 and 5,431.98 is: 7,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.13 : 7,957.89 = 5,431.98 : x
  2. Step 2: Convert to fraction form
    5,764.13/7,957.89 = 5,431.98/x
  3. Step 3: Cross multiply
    5,764.13x = 7,957.89 × 5,431.98
  4. Step 4: Simplify right side
    5,764.13x = 43,227,129.16
  5. Step 5: Solve for x
    x = 43,227,129.16/5,764.13
  6. Step 6: Final answer
    x = 7,499.33

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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.