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Finding the Fourth Proportional to 4,122.58, 6,184.68 and 1,525.54

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Solution

The fourth proportional to 4,122.58, 6,184.68 and 1,525.54 is: 2,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.58 : 6,184.68 = 1,525.54 : x
  2. Step 2: Convert to fraction form
    4,122.58/6,184.68 = 1,525.54/x
  3. Step 3: Cross multiply
    4,122.58x = 6,184.68 × 1,525.54
  4. Step 4: Simplify right side
    4,122.58x = 9,434,976.73
  5. Step 5: Solve for x
    x = 9,434,976.73/4,122.58
  6. Step 6: Final answer
    x = 2,288.61

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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.