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Finding the Fourth Proportional to 4,745.46, 6,548.74 and 2,649.66

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Solution

The fourth proportional to 4,745.46, 6,548.74 and 2,649.66 is: 3,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.46 : 6,548.74 = 2,649.66 : x
  2. Step 2: Convert to fraction form
    4,745.46/6,548.74 = 2,649.66/x
  3. Step 3: Cross multiply
    4,745.46x = 6,548.74 × 2,649.66
  4. Step 4: Simplify right side
    4,745.46x = 17,351,901.68
  5. Step 5: Solve for x
    x = 17,351,901.68/4,745.46
  6. Step 6: Final answer
    x = 3,656.53

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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.