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Finding the Fourth Proportional to 4,366.95, 6,543.89 and 3,546.82

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Solution

The fourth proportional to 4,366.95, 6,543.89 and 3,546.82 is: 5,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.95 : 6,543.89 = 3,546.82 : x
  2. Step 2: Convert to fraction form
    4,366.95/6,543.89 = 3,546.82/x
  3. Step 3: Cross multiply
    4,366.95x = 6,543.89 × 3,546.82
  4. Step 4: Simplify right side
    4,366.95x = 23,210,003.68
  5. Step 5: Solve for x
    x = 23,210,003.68/4,366.95
  6. Step 6: Final answer
    x = 5,314.93

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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.