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Finding the Fourth Proportional to 5,216.92, 7,202.46 and 4,633.72

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Solution

The fourth proportional to 5,216.92, 7,202.46 and 4,633.72 is: 6,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.92 : 7,202.46 = 4,633.72 : x
  2. Step 2: Convert to fraction form
    5,216.92/7,202.46 = 4,633.72/x
  3. Step 3: Cross multiply
    5,216.92x = 7,202.46 × 4,633.72
  4. Step 4: Simplify right side
    5,216.92x = 33,374,182.95
  5. Step 5: Solve for x
    x = 33,374,182.95/5,216.92
  6. Step 6: Final answer
    x = 6,397.30

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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.