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Finding the Fourth Proportional to 5,526.66, 8,290.17 and 1,828.83

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Solution

The fourth proportional to 5,526.66, 8,290.17 and 1,828.83 is: 2,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526.66 : 8,290.17 = 1,828.83 : x
  2. Step 2: Convert to fraction form
    5,526.66/8,290.17 = 1,828.83/x
  3. Step 3: Cross multiply
    5,526.66x = 8,290.17 × 1,828.83
  4. Step 4: Simplify right side
    5,526.66x = 15,161,311.60
  5. Step 5: Solve for x
    x = 15,161,311.60/5,526.66
  6. Step 6: Final answer
    x = 2,743.30

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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.