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Finding the Fourth Proportional to 5,504.61, 8,256.74 and 1,344.64

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Solution

The fourth proportional to 5,504.61, 8,256.74 and 1,344.64 is: 2,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.61 : 8,256.74 = 1,344.64 : x
  2. Step 2: Convert to fraction form
    5,504.61/8,256.74 = 1,344.64/x
  3. Step 3: Cross multiply
    5,504.61x = 8,256.74 × 1,344.64
  4. Step 4: Simplify right side
    5,504.61x = 11,102,342.87
  5. Step 5: Solve for x
    x = 11,102,342.87/5,504.61
  6. Step 6: Final answer
    x = 2,016.92

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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.