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Finding the Fourth Proportional to 4,968.10, 6,862.97 and 4,705.66

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Solution

The fourth proportional to 4,968.10, 6,862.97 and 4,705.66 is: 6,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.10 : 6,862.97 = 4,705.66 : x
  2. Step 2: Convert to fraction form
    4,968.10/6,862.97 = 4,705.66/x
  3. Step 3: Cross multiply
    4,968.10x = 6,862.97 × 4,705.66
  4. Step 4: Simplify right side
    4,968.10x = 32,294,745.57
  5. Step 5: Solve for x
    x = 32,294,745.57/4,968.10
  6. Step 6: Final answer
    x = 6,500.43

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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.