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Finding the Fourth Proportional to 4,099.83, 5,644.08 and 3,911.53

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Solution

The fourth proportional to 4,099.83, 5,644.08 and 3,911.53 is: 5,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.83 : 5,644.08 = 3,911.53 : x
  2. Step 2: Convert to fraction form
    4,099.83/5,644.08 = 3,911.53/x
  3. Step 3: Cross multiply
    4,099.83x = 5,644.08 × 3,911.53
  4. Step 4: Simplify right side
    4,099.83x = 22,076,948.88
  5. Step 5: Solve for x
    x = 22,076,948.88/4,099.83
  6. Step 6: Final answer
    x = 5,384.85

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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.