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Finding the Fourth Proportional to 4,484.46, 6,729.39 and 1,564.82

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Solution

The fourth proportional to 4,484.46, 6,729.39 and 1,564.82 is: 2,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.46 : 6,729.39 = 1,564.82 : x
  2. Step 2: Convert to fraction form
    4,484.46/6,729.39 = 1,564.82/x
  3. Step 3: Cross multiply
    4,484.46x = 6,729.39 × 1,564.82
  4. Step 4: Simplify right side
    4,484.46x = 10,530,250.41
  5. Step 5: Solve for x
    x = 10,530,250.41/4,484.46
  6. Step 6: Final answer
    x = 2,348.16

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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.