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Finding the Fourth Proportional to 3,527.68, 5,289.66 and 1,883.78

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Solution

The fourth proportional to 3,527.68, 5,289.66 and 1,883.78 is: 2,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.68 : 5,289.66 = 1,883.78 : x
  2. Step 2: Convert to fraction form
    3,527.68/5,289.66 = 1,883.78/x
  3. Step 3: Cross multiply
    3,527.68x = 5,289.66 × 1,883.78
  4. Step 4: Simplify right side
    3,527.68x = 9,964,555.71
  5. Step 5: Solve for x
    x = 9,964,555.71/3,527.68
  6. Step 6: Final answer
    x = 2,824.68

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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.