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Finding the Fourth Proportional to 4,649.82, 6,977.84 and 2,460.12

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Solution

The fourth proportional to 4,649.82, 6,977.84 and 2,460.12 is: 3,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.82 : 6,977.84 = 2,460.12 : x
  2. Step 2: Convert to fraction form
    4,649.82/6,977.84 = 2,460.12/x
  3. Step 3: Cross multiply
    4,649.82x = 6,977.84 × 2,460.12
  4. Step 4: Simplify right side
    4,649.82x = 17,166,311.44
  5. Step 5: Solve for x
    x = 17,166,311.44/4,649.82
  6. Step 6: Final answer
    x = 3,691.82

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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.