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Finding the Fourth Proportional to 3,493.64, 5,239.65 and 1,027.80

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Solution

The fourth proportional to 3,493.64, 5,239.65 and 1,027.80 is: 1,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.64 : 5,239.65 = 1,027.80 : x
  2. Step 2: Convert to fraction form
    3,493.64/5,239.65 = 1,027.80/x
  3. Step 3: Cross multiply
    3,493.64x = 5,239.65 × 1,027.80
  4. Step 4: Simplify right side
    3,493.64x = 5,385,312.27
  5. Step 5: Solve for x
    x = 5,385,312.27/3,493.64
  6. Step 6: Final answer
    x = 1,541.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.