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Finding the Fourth Proportional to 4,071.87, 6,099.48 and 3,411.90

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Solution

The fourth proportional to 4,071.87, 6,099.48 and 3,411.90 is: 5,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.87 : 6,099.48 = 3,411.90 : x
  2. Step 2: Convert to fraction form
    4,071.87/6,099.48 = 3,411.90/x
  3. Step 3: Cross multiply
    4,071.87x = 6,099.48 × 3,411.90
  4. Step 4: Simplify right side
    4,071.87x = 20,810,815.81
  5. Step 5: Solve for x
    x = 20,810,815.81/4,071.87
  6. Step 6: Final answer
    x = 5,110.87

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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.