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Finding the Fourth Proportional to 5,186.19, 7,156.88 and 2,828.28

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Solution

The fourth proportional to 5,186.19, 7,156.88 and 2,828.28 is: 3,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.19 : 7,156.88 = 2,828.28 : x
  2. Step 2: Convert to fraction form
    5,186.19/7,156.88 = 2,828.28/x
  3. Step 3: Cross multiply
    5,186.19x = 7,156.88 × 2,828.28
  4. Step 4: Simplify right side
    5,186.19x = 20,241,646.43
  5. Step 5: Solve for x
    x = 20,241,646.43/5,186.19
  6. Step 6: Final answer
    x = 3,902.99

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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.