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Finding the Fourth Proportional to 5,185.49, 7,156.01 and 2,827.62

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Solution

The fourth proportional to 5,185.49, 7,156.01 and 2,827.62 is: 3,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.49 : 7,156.01 = 2,827.62 : x
  2. Step 2: Convert to fraction form
    5,185.49/7,156.01 = 2,827.62/x
  3. Step 3: Cross multiply
    5,185.49x = 7,156.01 × 2,827.62
  4. Step 4: Simplify right side
    5,185.49x = 20,234,484.07
  5. Step 5: Solve for x
    x = 20,234,484.07/5,185.49
  6. Step 6: Final answer
    x = 3,902.14

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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.