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Finding the Fourth Proportional to 4,424.66, 6,637.22 and 1,137.78

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Solution

The fourth proportional to 4,424.66, 6,637.22 and 1,137.78 is: 1,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.66 : 6,637.22 = 1,137.78 : x
  2. Step 2: Convert to fraction form
    4,424.66/6,637.22 = 1,137.78/x
  3. Step 3: Cross multiply
    4,424.66x = 6,637.22 × 1,137.78
  4. Step 4: Simplify right side
    4,424.66x = 7,551,657.30
  5. Step 5: Solve for x
    x = 7,551,657.30/4,424.66
  6. Step 6: Final answer
    x = 1,706.72

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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.