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Finding the Fourth Proportional to 5,827.10, 8,047.13 and 3,706.62

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Solution

The fourth proportional to 5,827.10, 8,047.13 and 3,706.62 is: 5,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.10 : 8,047.13 = 3,706.62 : x
  2. Step 2: Convert to fraction form
    5,827.10/8,047.13 = 3,706.62/x
  3. Step 3: Cross multiply
    5,827.10x = 8,047.13 × 3,706.62
  4. Step 4: Simplify right side
    5,827.10x = 29,827,653.00
  5. Step 5: Solve for x
    x = 29,827,653.00/5,827.10
  6. Step 6: Final answer
    x = 5,118.78

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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.