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Finding the Fourth Proportional to 3,656, 5,045.28 and 2,000

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Solution

The fourth proportional to 3,656, 5,045.28 and 2,000 is: 2,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656 : 5,045.28 = 2,000 : x
  2. Step 2: Convert to fraction form
    3,656/5,045.28 = 2,000/x
  3. Step 3: Cross multiply
    3,656x = 5,045.28 × 2,000
  4. Step 4: Simplify right side
    3,656x = 10,090,560
  5. Step 5: Solve for x
    x = 10,090,560/3,656
  6. Step 6: Final answer
    x = 2,760

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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.