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Finding the Fourth Proportional to 5,193.98, 7,772.34 and 4,846.40

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Solution

The fourth proportional to 5,193.98, 7,772.34 and 4,846.40 is: 7,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.98 : 7,772.34 = 4,846.40 : x
  2. Step 2: Convert to fraction form
    5,193.98/7,772.34 = 4,846.40/x
  3. Step 3: Cross multiply
    5,193.98x = 7,772.34 × 4,846.40
  4. Step 4: Simplify right side
    5,193.98x = 37,667,868.58
  5. Step 5: Solve for x
    x = 37,667,868.58/5,193.98
  6. Step 6: Final answer
    x = 7,252.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.