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Finding the Fourth Proportional to 3,602.44, 5,412.30 and 2,306.44

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Solution

The fourth proportional to 3,602.44, 5,412.30 and 2,306.44 is: 3,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.44 : 5,412.30 = 2,306.44 : x
  2. Step 2: Convert to fraction form
    3,602.44/5,412.30 = 2,306.44/x
  3. Step 3: Cross multiply
    3,602.44x = 5,412.30 × 2,306.44
  4. Step 4: Simplify right side
    3,602.44x = 12,483,145.21
  5. Step 5: Solve for x
    x = 12,483,145.21/3,602.44
  6. Step 6: Final answer
    x = 3,465.19

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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.