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Finding the Fourth Proportional to 4,414.98, 6,623.48 and 1,295.22

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Solution

The fourth proportional to 4,414.98, 6,623.48 and 1,295.22 is: 1,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.98 : 6,623.48 = 1,295.22 : x
  2. Step 2: Convert to fraction form
    4,414.98/6,623.48 = 1,295.22/x
  3. Step 3: Cross multiply
    4,414.98x = 6,623.48 × 1,295.22
  4. Step 4: Simplify right side
    4,414.98x = 8,578,863.77
  5. Step 5: Solve for x
    x = 8,578,863.77/4,414.98
  6. Step 6: Final answer
    x = 1,943.13

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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.