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Finding the Fourth Proportional to 5,186.74, 7,157.85 and 2,828.92

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Solution

The fourth proportional to 5,186.74, 7,157.85 and 2,828.92 is: 3,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.74 : 7,157.85 = 2,828.92 : x
  2. Step 2: Convert to fraction form
    5,186.74/7,157.85 = 2,828.92/x
  3. Step 3: Cross multiply
    5,186.74x = 7,157.85 × 2,828.92
  4. Step 4: Simplify right side
    5,186.74x = 20,248,985.02
  5. Step 5: Solve for x
    x = 20,248,985.02/5,186.74
  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.