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Finding the Fourth Proportional to 4,813.54, 6,636.27 and 3,822.10

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Solution

The fourth proportional to 4,813.54, 6,636.27 and 3,822.10 is: 5,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.54 : 6,636.27 = 3,822.10 : x
  2. Step 2: Convert to fraction form
    4,813.54/6,636.27 = 3,822.10/x
  3. Step 3: Cross multiply
    4,813.54x = 6,636.27 × 3,822.10
  4. Step 4: Simplify right side
    4,813.54x = 25,364,487.57
  5. Step 5: Solve for x
    x = 25,364,487.57/4,813.54
  6. Step 6: Final answer
    x = 5,269.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.