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Finding the Fourth Proportional to 5,165.64, 7,750.62 and 2,243.16

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Solution

The fourth proportional to 5,165.64, 7,750.62 and 2,243.16 is: 3,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.64 : 7,750.62 = 2,243.16 : x
  2. Step 2: Convert to fraction form
    5,165.64/7,750.62 = 2,243.16/x
  3. Step 3: Cross multiply
    5,165.64x = 7,750.62 × 2,243.16
  4. Step 4: Simplify right side
    5,165.64x = 17,385,880.76
  5. Step 5: Solve for x
    x = 17,385,880.76/5,165.64
  6. Step 6: Final answer
    x = 3,365.68

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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.