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Finding the Fourth Proportional to 5,524.63, 8,288.19 and 1,827.25

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Solution

The fourth proportional to 5,524.63, 8,288.19 and 1,827.25 is: 2,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.63 : 8,288.19 = 1,827.25 : x
  2. Step 2: Convert to fraction form
    5,524.63/8,288.19 = 1,827.25/x
  3. Step 3: Cross multiply
    5,524.63x = 8,288.19 × 1,827.25
  4. Step 4: Simplify right side
    5,524.63x = 15,144,595.18
  5. Step 5: Solve for x
    x = 15,144,595.18/5,524.63
  6. Step 6: Final answer
    x = 2,741.29

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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.