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Finding the Fourth Proportional to 3,969.77, 5,484.87 and 3,136.86

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Solution

The fourth proportional to 3,969.77, 5,484.87 and 3,136.86 is: 4,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.77 : 5,484.87 = 3,136.86 : x
  2. Step 2: Convert to fraction form
    3,969.77/5,484.87 = 3,136.86/x
  3. Step 3: Cross multiply
    3,969.77x = 5,484.87 × 3,136.86
  4. Step 4: Simplify right side
    3,969.77x = 17,205,269.31
  5. Step 5: Solve for x
    x = 17,205,269.31/3,969.77
  6. Step 6: Final answer
    x = 4,334.08

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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.