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Finding the Fourth Proportional to 5,186.36, 7,156.98 and 2,828.45

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Solution

The fourth proportional to 5,186.36, 7,156.98 and 2,828.45 is: 3,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.36 : 7,156.98 = 2,828.45 : x
  2. Step 2: Convert to fraction form
    5,186.36/7,156.98 = 2,828.45/x
  3. Step 3: Cross multiply
    5,186.36x = 7,156.98 × 2,828.45
  4. Step 4: Simplify right side
    5,186.36x = 20,243,177.97
  5. Step 5: Solve for x
    x = 20,243,177.97/5,186.36
  6. Step 6: Final answer
    x = 3,903.16

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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.