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Finding the Fourth Proportional to 4,314.64, 5,954.17 and 2,426.22

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Solution

The fourth proportional to 4,314.64, 5,954.17 and 2,426.22 is: 3,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.64 : 5,954.17 = 2,426.22 : x
  2. Step 2: Convert to fraction form
    4,314.64/5,954.17 = 2,426.22/x
  3. Step 3: Cross multiply
    4,314.64x = 5,954.17 × 2,426.22
  4. Step 4: Simplify right side
    4,314.64x = 14,446,126.34
  5. Step 5: Solve for x
    x = 14,446,126.34/4,314.64
  6. Step 6: Final answer
    x = 3,348.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.