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Finding the Fourth Proportional to 4,745.72, 6,549.10 and 2,649.85

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Solution

The fourth proportional to 4,745.72, 6,549.10 and 2,649.85 is: 3,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.72 : 6,549.10 = 2,649.85 : x
  2. Step 2: Convert to fraction form
    4,745.72/6,549.10 = 2,649.85/x
  3. Step 3: Cross multiply
    4,745.72x = 6,549.10 × 2,649.85
  4. Step 4: Simplify right side
    4,745.72x = 17,354,109.64
  5. Step 5: Solve for x
    x = 17,354,109.64/4,745.72
  6. Step 6: Final answer
    x = 3,656.79

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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.