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Finding the Fourth Proportional to 4,363.66, 6,546.71 and 1,444.02

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Solution

The fourth proportional to 4,363.66, 6,546.71 and 1,444.02 is: 2,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.66 : 6,546.71 = 1,444.02 : x
  2. Step 2: Convert to fraction form
    4,363.66/6,546.71 = 1,444.02/x
  3. Step 3: Cross multiply
    4,363.66x = 6,546.71 × 1,444.02
  4. Step 4: Simplify right side
    4,363.66x = 9,453,580.17
  5. Step 5: Solve for x
    x = 9,453,580.17/4,363.66
  6. Step 6: Final answer
    x = 2,166.43

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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.