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Finding the Fourth Proportional to 5,493.04, 8,240 and 1,597.44

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Solution

The fourth proportional to 5,493.04, 8,240 and 1,597.44 is: 2,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.04 : 8,240 = 1,597.44 : x
  2. Step 2: Convert to fraction form
    5,493.04/8,240 = 1,597.44/x
  3. Step 3: Cross multiply
    5,493.04x = 8,240 × 1,597.44
  4. Step 4: Simplify right side
    5,493.04x = 13,162,905.60
  5. Step 5: Solve for x
    x = 13,162,905.60/5,493.04
  6. Step 6: Final answer
    x = 2,396.29

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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.