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Finding the Fourth Proportional to 4,745.81, 6,549.32 and 2,649.94

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Solution

The fourth proportional to 4,745.81, 6,549.32 and 2,649.94 is: 3,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.81 : 6,549.32 = 2,649.94 : x
  2. Step 2: Convert to fraction form
    4,745.81/6,549.32 = 2,649.94/x
  3. Step 3: Cross multiply
    4,745.81x = 6,549.32 × 2,649.94
  4. Step 4: Simplify right side
    4,745.81x = 17,355,295.29
  5. Step 5: Solve for x
    x = 17,355,295.29/4,745.81
  6. Step 6: Final answer
    x = 3,656.97

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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.