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Finding the Fourth Proportional to 4,720.46, 6,512.86 and 3,042.44

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Solution

The fourth proportional to 4,720.46, 6,512.86 and 3,042.44 is: 4,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.46 : 6,512.86 = 3,042.44 : x
  2. Step 2: Convert to fraction form
    4,720.46/6,512.86 = 3,042.44/x
  3. Step 3: Cross multiply
    4,720.46x = 6,512.86 × 3,042.44
  4. Step 4: Simplify right side
    4,720.46x = 19,814,945.61
  5. Step 5: Solve for x
    x = 19,814,945.61/4,720.46
  6. Step 6: Final answer
    x = 4,197.68

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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.