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Finding the Fourth Proportional to 3,647.49, 5,460.48 and 2,474.43

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Solution

The fourth proportional to 3,647.49, 5,460.48 and 2,474.43 is: 3,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.49 : 5,460.48 = 2,474.43 : x
  2. Step 2: Convert to fraction form
    3,647.49/5,460.48 = 2,474.43/x
  3. Step 3: Cross multiply
    3,647.49x = 5,460.48 × 2,474.43
  4. Step 4: Simplify right side
    3,647.49x = 13,511,575.53
  5. Step 5: Solve for x
    x = 13,511,575.53/3,647.49
  6. Step 6: Final answer
    x = 3,704.35

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1.5x scale

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.