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Finding the Fourth Proportional to 5,492.66, 8,239.79 and 1,596.56

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Solution

The fourth proportional to 5,492.66, 8,239.79 and 1,596.56 is: 2,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.66 : 8,239.79 = 1,596.56 : x
  2. Step 2: Convert to fraction form
    5,492.66/8,239.79 = 1,596.56/x
  3. Step 3: Cross multiply
    5,492.66x = 8,239.79 × 1,596.56
  4. Step 4: Simplify right side
    5,492.66x = 13,155,269.94
  5. Step 5: Solve for x
    x = 13,155,269.94/5,492.66
  6. Step 6: Final answer
    x = 2,395.07

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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.