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Finding the Fourth Proportional to 5,493.60, 8,238 and 1,597.92

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Solution

The fourth proportional to 5,493.60, 8,238 and 1,597.92 is: 2,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.60 : 8,238 = 1,597.92 : x
  2. Step 2: Convert to fraction form
    5,493.60/8,238 = 1,597.92/x
  3. Step 3: Cross multiply
    5,493.60x = 8,238 × 1,597.92
  4. Step 4: Simplify right side
    5,493.60x = 13,163,664.96
  5. Step 5: Solve for x
    x = 13,163,664.96/5,493.60
  6. Step 6: Final answer
    x = 2,396.18

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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.