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Finding the Fourth Proportional to 4,472.24, 6,700.28 and 4,208.74

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Solution

The fourth proportional to 4,472.24, 6,700.28 and 4,208.74 is: 6,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.24 : 6,700.28 = 4,208.74 : x
  2. Step 2: Convert to fraction form
    4,472.24/6,700.28 = 4,208.74/x
  3. Step 3: Cross multiply
    4,472.24x = 6,700.28 × 4,208.74
  4. Step 4: Simplify right side
    4,472.24x = 28,199,736.45
  5. Step 5: Solve for x
    x = 28,199,736.45/4,472.24
  6. Step 6: Final answer
    x = 6,305.51

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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.