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Finding the Fourth Proportional to 4,445.16, 6,662.16 and 2,105.16

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Solution

The fourth proportional to 4,445.16, 6,662.16 and 2,105.16 is: 3,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,445.16 : 6,662.16 = 2,105.16 : x
  2. Step 2: Convert to fraction form
    4,445.16/6,662.16 = 2,105.16/x
  3. Step 3: Cross multiply
    4,445.16x = 6,662.16 × 2,105.16
  4. Step 4: Simplify right side
    4,445.16x = 14,024,912.75
  5. Step 5: Solve for x
    x = 14,024,912.75/4,445.16
  6. Step 6: Final answer
    x = 3,155.10

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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.