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Finding the Fourth Proportional to 5,034.66, 7,546.32 and 2,562.54

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Solution

The fourth proportional to 5,034.66, 7,546.32 and 2,562.54 is: 3,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.66 : 7,546.32 = 2,562.54 : x
  2. Step 2: Convert to fraction form
    5,034.66/7,546.32 = 2,562.54/x
  3. Step 3: Cross multiply
    5,034.66x = 7,546.32 × 2,562.54
  4. Step 4: Simplify right side
    5,034.66x = 19,337,746.85
  5. Step 5: Solve for x
    x = 19,337,746.85/5,034.66
  6. Step 6: Final answer
    x = 3,840.92

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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.