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Finding the Fourth Proportional to 4,047.62, 6,071.79 and 2,099.30

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Solution

The fourth proportional to 4,047.62, 6,071.79 and 2,099.30 is: 3,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.62 : 6,071.79 = 2,099.30 : x
  2. Step 2: Convert to fraction form
    4,047.62/6,071.79 = 2,099.30/x
  3. Step 3: Cross multiply
    4,047.62x = 6,071.79 × 2,099.30
  4. Step 4: Simplify right side
    4,047.62x = 12,746,508.75
  5. Step 5: Solve for x
    x = 12,746,508.75/4,047.62
  6. Step 6: Final answer
    x = 3,149.14

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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.