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Finding the Fourth Proportional to 4,745.16, 6,542.82 and 3,066.48

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Solution

The fourth proportional to 4,745.16, 6,542.82 and 3,066.48 is: 4,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.16 : 6,542.82 = 3,066.48 : x
  2. Step 2: Convert to fraction form
    4,745.16/6,542.82 = 3,066.48/x
  3. Step 3: Cross multiply
    4,745.16x = 6,542.82 × 3,066.48
  4. Step 4: Simplify right side
    4,745.16x = 20,063,426.67
  5. Step 5: Solve for x
    x = 20,063,426.67/4,745.16
  6. Step 6: Final answer
    x = 4,228.19

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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.