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Finding the Fourth Proportional to 5,264.54, 7,900.32 and 2,186.54

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Solution

The fourth proportional to 5,264.54, 7,900.32 and 2,186.54 is: 3,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.54 : 7,900.32 = 2,186.54 : x
  2. Step 2: Convert to fraction form
    5,264.54/7,900.32 = 2,186.54/x
  3. Step 3: Cross multiply
    5,264.54x = 7,900.32 × 2,186.54
  4. Step 4: Simplify right side
    5,264.54x = 17,274,365.69
  5. Step 5: Solve for x
    x = 17,274,365.69/5,264.54
  6. Step 6: Final answer
    x = 3,281.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.