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Finding the Fourth Proportional to 3,526.00, 5,289.81 and 1,882.20

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Solution

The fourth proportional to 3,526.00, 5,289.81 and 1,882.20 is: 2,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.00 : 5,289.81 = 1,882.20 : x
  2. Step 2: Convert to fraction form
    3,526.00/5,289.81 = 1,882.20/x
  3. Step 3: Cross multiply
    3,526.00x = 5,289.81 × 1,882.20
  4. Step 4: Simplify right side
    3,526.00x = 9,956,493.16
  5. Step 5: Solve for x
    x = 9,956,493.16/3,526.00
  6. Step 6: Final answer
    x = 2,823.74

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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.