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Finding the Fourth Proportional to 5,525.92, 8,290.13 and 1,828.14

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Solution

The fourth proportional to 5,525.92, 8,290.13 and 1,828.14 is: 2,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,525.92 : 8,290.13 = 1,828.14 : x
  2. Step 2: Convert to fraction form
    5,525.92/8,290.13 = 1,828.14/x
  3. Step 3: Cross multiply
    5,525.92x = 8,290.13 × 1,828.14
  4. Step 4: Simplify right side
    5,525.92x = 15,155,565.97
  5. Step 5: Solve for x
    x = 15,155,565.97/5,525.92
  6. Step 6: Final answer
    x = 2,742.63

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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.