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Finding the Fourth Proportional to 5,203.60, 7,809.44 and 3,633.40

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Solution

The fourth proportional to 5,203.60, 7,809.44 and 3,633.40 is: 5,452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.60 : 7,809.44 = 3,633.40 : x
  2. Step 2: Convert to fraction form
    5,203.60/7,809.44 = 3,633.40/x
  3. Step 3: Cross multiply
    5,203.60x = 7,809.44 × 3,633.40
  4. Step 4: Simplify right side
    5,203.60x = 28,374,819.30
  5. Step 5: Solve for x
    x = 28,374,819.30/5,203.60
  6. Step 6: Final answer
    x = 5,452.92

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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.