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Finding the Fourth Proportional to 5,186.52, 7,157.28 and 2,828.64

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Solution

The fourth proportional to 5,186.52, 7,157.28 and 2,828.64 is: 3,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.52 : 7,157.28 = 2,828.64 : x
  2. Step 2: Convert to fraction form
    5,186.52/7,157.28 = 2,828.64/x
  3. Step 3: Cross multiply
    5,186.52x = 7,157.28 × 2,828.64
  4. Step 4: Simplify right side
    5,186.52x = 20,245,368.50
  5. Step 5: Solve for x
    x = 20,245,368.50/5,186.52
  6. Step 6: Final answer
    x = 3,903.46

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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.