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Finding the Fourth Proportional to 3,946.68, 5,922.04 and 2,302.28

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Solution

The fourth proportional to 3,946.68, 5,922.04 and 2,302.28 is: 3,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.68 : 5,922.04 = 2,302.28 : x
  2. Step 2: Convert to fraction form
    3,946.68/5,922.04 = 2,302.28/x
  3. Step 3: Cross multiply
    3,946.68x = 5,922.04 × 2,302.28
  4. Step 4: Simplify right side
    3,946.68x = 13,634,194.25
  5. Step 5: Solve for x
    x = 13,634,194.25/3,946.68
  6. Step 6: Final answer
    x = 3,454.60

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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.