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Finding the Fourth Proportional to 5,781.50, 8,011.44 and 5,430.36

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Solution

The fourth proportional to 5,781.50, 8,011.44 and 5,430.36 is: 7,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.50 : 8,011.44 = 5,430.36 : x
  2. Step 2: Convert to fraction form
    5,781.50/8,011.44 = 5,430.36/x
  3. Step 3: Cross multiply
    5,781.50x = 8,011.44 × 5,430.36
  4. Step 4: Simplify right side
    5,781.50x = 43,505,003.32
  5. Step 5: Solve for x
    x = 43,505,003.32/5,781.50
  6. Step 6: Final answer
    x = 7,524.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.