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Finding the Fourth Proportional to 3,627.96, 5,006.42 and 2,056.10

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Solution

The fourth proportional to 3,627.96, 5,006.42 and 2,056.10 is: 2,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.96 : 5,006.42 = 2,056.10 : x
  2. Step 2: Convert to fraction form
    3,627.96/5,006.42 = 2,056.10/x
  3. Step 3: Cross multiply
    3,627.96x = 5,006.42 × 2,056.10
  4. Step 4: Simplify right side
    3,627.96x = 10,293,700.16
  5. Step 5: Solve for x
    x = 10,293,700.16/3,627.96
  6. Step 6: Final answer
    x = 2,837.32

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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.