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Finding the Fourth Proportional to 5,099.40, 7,641.90 and 3,772.80

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Solution

The fourth proportional to 5,099.40, 7,641.90 and 3,772.80 is: 5,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.40 : 7,641.90 = 3,772.80 : x
  2. Step 2: Convert to fraction form
    5,099.40/7,641.90 = 3,772.80/x
  3. Step 3: Cross multiply
    5,099.40x = 7,641.90 × 3,772.80
  4. Step 4: Simplify right side
    5,099.40x = 28,831,360.32
  5. Step 5: Solve for x
    x = 28,831,360.32/5,099.40
  6. Step 6: Final answer
    x = 5,653.87

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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.