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Finding the Fourth Proportional to 5,654.66, 8,482.19 and 2,363.22

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Solution

The fourth proportional to 5,654.66, 8,482.19 and 2,363.22 is: 3,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.66 : 8,482.19 = 2,363.22 : x
  2. Step 2: Convert to fraction form
    5,654.66/8,482.19 = 2,363.22/x
  3. Step 3: Cross multiply
    5,654.66x = 8,482.19 × 2,363.22
  4. Step 4: Simplify right side
    5,654.66x = 20,045,269.24
  5. Step 5: Solve for x
    x = 20,045,269.24/5,654.66
  6. Step 6: Final answer
    x = 3,544.91

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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.