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Finding the Fourth Proportional to 5,305.60, 7,302.40 and 3,811.20

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Solution

The fourth proportional to 5,305.60, 7,302.40 and 3,811.20 is: 5,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.60 : 7,302.40 = 3,811.20 : x
  2. Step 2: Convert to fraction form
    5,305.60/7,302.40 = 3,811.20/x
  3. Step 3: Cross multiply
    5,305.60x = 7,302.40 × 3,811.20
  4. Step 4: Simplify right side
    5,305.60x = 27,830,906.88
  5. Step 5: Solve for x
    x = 27,830,906.88/5,305.60
  6. Step 6: Final answer
    x = 5,245.57

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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.