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Finding the Fourth Proportional to 5,186.84, 7,157.88 and 2,828.96

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Solution

The fourth proportional to 5,186.84, 7,157.88 and 2,828.96 is: 3,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.84 : 7,157.88 = 2,828.96 : x
  2. Step 2: Convert to fraction form
    5,186.84/7,157.88 = 2,828.96/x
  3. Step 3: Cross multiply
    5,186.84x = 7,157.88 × 2,828.96
  4. Step 4: Simplify right side
    5,186.84x = 20,249,356.20
  5. Step 5: Solve for x
    x = 20,249,356.20/5,186.84
  6. Step 6: Final answer
    x = 3,903.99

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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.