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Finding the Fourth Proportional to 4,004.69, 5,529.07 and 3,584.31

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Solution

The fourth proportional to 4,004.69, 5,529.07 and 3,584.31 is: 4,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.69 : 5,529.07 = 3,584.31 : x
  2. Step 2: Convert to fraction form
    4,004.69/5,529.07 = 3,584.31/x
  3. Step 3: Cross multiply
    4,004.69x = 5,529.07 × 3,584.31
  4. Step 4: Simplify right side
    4,004.69x = 19,817,891.93
  5. Step 5: Solve for x
    x = 19,817,891.93/4,004.69
  6. Step 6: Final answer
    x = 4,948.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.