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Finding the Fourth Proportional to 5,492.93, 8,240.83 and 1,544.21

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Solution

The fourth proportional to 5,492.93, 8,240.83 and 1,544.21 is: 2,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.93 : 8,240.83 = 1,544.21 : x
  2. Step 2: Convert to fraction form
    5,492.93/8,240.83 = 1,544.21/x
  3. Step 3: Cross multiply
    5,492.93x = 8,240.83 × 1,544.21
  4. Step 4: Simplify right side
    5,492.93x = 12,725,539.10
  5. Step 5: Solve for x
    x = 12,725,539.10/5,492.93
  6. Step 6: Final answer
    x = 2,316.71

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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.