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Finding the Fourth Proportional to 4,797.50, 7,193.18 and 3,312.56

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Solution

The fourth proportional to 4,797.50, 7,193.18 and 3,312.56 is: 4,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.50 : 7,193.18 = 3,312.56 : x
  2. Step 2: Convert to fraction form
    4,797.50/7,193.18 = 3,312.56/x
  3. Step 3: Cross multiply
    4,797.50x = 7,193.18 × 3,312.56
  4. Step 4: Simplify right side
    4,797.50x = 23,827,847.97
  5. Step 5: Solve for x
    x = 23,827,847.97/4,797.50
  6. Step 6: Final answer
    x = 4,966.72

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Why These Related Problems?

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