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Finding the Fourth Proportional to 5,492.54, 8,239.26 and 1,596.95

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Solution

The fourth proportional to 5,492.54, 8,239.26 and 1,596.95 is: 2,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.54 : 8,239.26 = 1,596.95 : x
  2. Step 2: Convert to fraction form
    5,492.54/8,239.26 = 1,596.95/x
  3. Step 3: Cross multiply
    5,492.54x = 8,239.26 × 1,596.95
  4. Step 4: Simplify right side
    5,492.54x = 13,157,645.06
  5. Step 5: Solve for x
    x = 13,157,645.06/5,492.54
  6. Step 6: Final answer
    x = 2,395.55

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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.