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Finding the Fourth Proportional to 3,627.85, 5,006.91 and 2,056

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Solution

The fourth proportional to 3,627.85, 5,006.91 and 2,056 is: 2,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.85 : 5,006.91 = 2,056 : x
  2. Step 2: Convert to fraction form
    3,627.85/5,006.91 = 2,056/x
  3. Step 3: Cross multiply
    3,627.85x = 5,006.91 × 2,056
  4. Step 4: Simplify right side
    3,627.85x = 10,294,206.96
  5. Step 5: Solve for x
    x = 10,294,206.96/3,627.85
  6. Step 6: Final answer
    x = 2,837.55

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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.