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Finding the Fourth Proportional to 3,527.88, 5,291.81 and 1,219.38

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Solution

The fourth proportional to 3,527.88, 5,291.81 and 1,219.38 is: 1,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.88 : 5,291.81 = 1,219.38 : x
  2. Step 2: Convert to fraction form
    3,527.88/5,291.81 = 1,219.38/x
  3. Step 3: Cross multiply
    3,527.88x = 5,291.81 × 1,219.38
  4. Step 4: Simplify right side
    3,527.88x = 6,452,727.28
  5. Step 5: Solve for x
    x = 6,452,727.28/3,527.88
  6. Step 6: Final answer
    x = 1,829.07

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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.