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Finding the Fourth Proportional to 4,653.24, 6,419.34 and 2,974.20

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Solution

The fourth proportional to 4,653.24, 6,419.34 and 2,974.20 is: 4,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.24 : 6,419.34 = 2,974.20 : x
  2. Step 2: Convert to fraction form
    4,653.24/6,419.34 = 2,974.20/x
  3. Step 3: Cross multiply
    4,653.24x = 6,419.34 × 2,974.20
  4. Step 4: Simplify right side
    4,653.24x = 19,092,401.03
  5. Step 5: Solve for x
    x = 19,092,401.03/4,653.24
  6. Step 6: Final answer
    x = 4,103.03

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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.