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Finding the Fourth Proportional to 3,494.71, 5,240.24 and 1,301.64

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Solution

The fourth proportional to 3,494.71, 5,240.24 and 1,301.64 is: 1,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.71 : 5,240.24 = 1,301.64 : x
  2. Step 2: Convert to fraction form
    3,494.71/5,240.24 = 1,301.64/x
  3. Step 3: Cross multiply
    3,494.71x = 5,240.24 × 1,301.64
  4. Step 4: Simplify right side
    3,494.71x = 6,820,889.60
  5. Step 5: Solve for x
    x = 6,820,889.60/3,494.71
  6. Step 6: Final answer
    x = 1,951.77

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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.