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Finding the Fourth Proportional to 5,186.12, 7,156.92 and 2,828.40

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Solution

The fourth proportional to 5,186.12, 7,156.92 and 2,828.40 is: 3,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.12 : 7,156.92 = 2,828.40 : x
  2. Step 2: Convert to fraction form
    5,186.12/7,156.92 = 2,828.40/x
  3. Step 3: Cross multiply
    5,186.12x = 7,156.92 × 2,828.40
  4. Step 4: Simplify right side
    5,186.12x = 20,242,632.53
  5. Step 5: Solve for x
    x = 20,242,632.53/5,186.12
  6. Step 6: Final answer
    x = 3,903.23

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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.