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Finding the Fourth Proportional to 4,274.13, 6,409.18 and 2,195.13

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Solution

The fourth proportional to 4,274.13, 6,409.18 and 2,195.13 is: 3,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.13 : 6,409.18 = 2,195.13 : x
  2. Step 2: Convert to fraction form
    4,274.13/6,409.18 = 2,195.13/x
  3. Step 3: Cross multiply
    4,274.13x = 6,409.18 × 2,195.13
  4. Step 4: Simplify right side
    4,274.13x = 14,068,983.29
  5. Step 5: Solve for x
    x = 14,068,983.29/4,274.13
  6. Step 6: Final answer
    x = 3,291.66

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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.