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Finding the Fourth Proportional to 5,222.64, 7,201.93 and 3,454.82

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Solution

The fourth proportional to 5,222.64, 7,201.93 and 3,454.82 is: 4,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.64 : 7,201.93 = 3,454.82 : x
  2. Step 2: Convert to fraction form
    5,222.64/7,201.93 = 3,454.82/x
  3. Step 3: Cross multiply
    5,222.64x = 7,201.93 × 3,454.82
  4. Step 4: Simplify right side
    5,222.64x = 24,881,318.52
  5. Step 5: Solve for x
    x = 24,881,318.52/5,222.64
  6. Step 6: Final answer
    x = 4,764.13

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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.