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Finding the Fourth Proportional to 4,093.12, 6,141.84 and 3,210.22

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Solution

The fourth proportional to 4,093.12, 6,141.84 and 3,210.22 is: 4,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.12 : 6,141.84 = 3,210.22 : x
  2. Step 2: Convert to fraction form
    4,093.12/6,141.84 = 3,210.22/x
  3. Step 3: Cross multiply
    4,093.12x = 6,141.84 × 3,210.22
  4. Step 4: Simplify right side
    4,093.12x = 19,716,657.60
  5. Step 5: Solve for x
    x = 19,716,657.60/4,093.12
  6. Step 6: Final answer
    x = 4,817.02

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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.