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Finding the Fourth Proportional to 5,801.86, 8,699.01 and 3,821.50

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Solution

The fourth proportional to 5,801.86, 8,699.01 and 3,821.50 is: 5,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.86 : 8,699.01 = 3,821.50 : x
  2. Step 2: Convert to fraction form
    5,801.86/8,699.01 = 3,821.50/x
  3. Step 3: Cross multiply
    5,801.86x = 8,699.01 × 3,821.50
  4. Step 4: Simplify right side
    5,801.86x = 33,243,266.72
  5. Step 5: Solve for x
    x = 33,243,266.72/5,801.86
  6. Step 6: Final answer
    x = 5,729.76

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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.