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Finding the Fourth Proportional to 5,688.77, 8,537.00 and 1,991.03

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Solution

The fourth proportional to 5,688.77, 8,537.00 and 1,991.03 is: 2,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.77 : 8,537.00 = 1,991.03 : x
  2. Step 2: Convert to fraction form
    5,688.77/8,537.00 = 1,991.03/x
  3. Step 3: Cross multiply
    5,688.77x = 8,537.00 × 1,991.03
  4. Step 4: Simplify right side
    5,688.77x = 16,997,402.48
  5. Step 5: Solve for x
    x = 16,997,402.48/5,688.77
  6. Step 6: Final answer
    x = 2,987.89

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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.