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Finding the Fourth Proportional to 3,477.72, 4,796.46 and 3,057.17

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Solution

The fourth proportional to 3,477.72, 4,796.46 and 3,057.17 is: 4,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.72 : 4,796.46 = 3,057.17 : x
  2. Step 2: Convert to fraction form
    3,477.72/4,796.46 = 3,057.17/x
  3. Step 3: Cross multiply
    3,477.72x = 4,796.46 × 3,057.17
  4. Step 4: Simplify right side
    3,477.72x = 14,663,605.61
  5. Step 5: Solve for x
    x = 14,663,605.61/3,477.72
  6. Step 6: Final answer
    x = 4,216.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.