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Finding the Fourth Proportional to 4,797.24, 7,193.70 and 4,646.04

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Solution

The fourth proportional to 4,797.24, 7,193.70 and 4,646.04 is: 6,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.24 : 7,193.70 = 4,646.04 : x
  2. Step 2: Convert to fraction form
    4,797.24/7,193.70 = 4,646.04/x
  3. Step 3: Cross multiply
    4,797.24x = 7,193.70 × 4,646.04
  4. Step 4: Simplify right side
    4,797.24x = 33,422,217.95
  5. Step 5: Solve for x
    x = 33,422,217.95/4,797.24
  6. Step 6: Final answer
    x = 6,966.97

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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.