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Finding the Fourth Proportional to 4,399.57, 6,599.36 and 1,804.33

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Solution

The fourth proportional to 4,399.57, 6,599.36 and 1,804.33 is: 2,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399.57 : 6,599.36 = 1,804.33 : x
  2. Step 2: Convert to fraction form
    4,399.57/6,599.36 = 1,804.33/x
  3. Step 3: Cross multiply
    4,399.57x = 6,599.36 × 1,804.33
  4. Step 4: Simplify right side
    4,399.57x = 11,907,397.71
  5. Step 5: Solve for x
    x = 11,907,397.71/4,399.57
  6. Step 6: Final answer
    x = 2,706.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.