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Finding the Fourth Proportional to 3,484.46, 5,227.22 and 1,263.47

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Solution

The fourth proportional to 3,484.46, 5,227.22 and 1,263.47 is: 1,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.46 : 5,227.22 = 1,263.47 : x
  2. Step 2: Convert to fraction form
    3,484.46/5,227.22 = 1,263.47/x
  3. Step 3: Cross multiply
    3,484.46x = 5,227.22 × 1,263.47
  4. Step 4: Simplify right side
    3,484.46x = 6,604,412.68
  5. Step 5: Solve for x
    x = 6,604,412.68/3,484.46
  6. Step 6: Final answer
    x = 1,895.39

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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.