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Finding the Fourth Proportional to 4,194.64, 5,788.26 and 2,426.36

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Solution

The fourth proportional to 4,194.64, 5,788.26 and 2,426.36 is: 3,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.64 : 5,788.26 = 2,426.36 : x
  2. Step 2: Convert to fraction form
    4,194.64/5,788.26 = 2,426.36/x
  3. Step 3: Cross multiply
    4,194.64x = 5,788.26 × 2,426.36
  4. Step 4: Simplify right side
    4,194.64x = 14,044,373.59
  5. Step 5: Solve for x
    x = 14,044,373.59/4,194.64
  6. Step 6: Final answer
    x = 3,348.17

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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.