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Finding the Fourth Proportional to 4,496.32, 6,206.24 and 2,841.28

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Solution

The fourth proportional to 4,496.32, 6,206.24 and 2,841.28 is: 3,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.32 : 6,206.24 = 2,841.28 : x
  2. Step 2: Convert to fraction form
    4,496.32/6,206.24 = 2,841.28/x
  3. Step 3: Cross multiply
    4,496.32x = 6,206.24 × 2,841.28
  4. Step 4: Simplify right side
    4,496.32x = 17,633,665.59
  5. Step 5: Solve for x
    x = 17,633,665.59/4,496.32
  6. Step 6: Final answer
    x = 3,921.80

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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.