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Finding the Fourth Proportional to 3,614.33, 5,417.31 and 1,533.67

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Solution

The fourth proportional to 3,614.33, 5,417.31 and 1,533.67 is: 2,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.33 : 5,417.31 = 1,533.67 : x
  2. Step 2: Convert to fraction form
    3,614.33/5,417.31 = 1,533.67/x
  3. Step 3: Cross multiply
    3,614.33x = 5,417.31 × 1,533.67
  4. Step 4: Simplify right side
    3,614.33x = 8,308,365.83
  5. Step 5: Solve for x
    x = 8,308,365.83/3,614.33
  6. Step 6: Final answer
    x = 2,298.73

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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.