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Finding the Fourth Proportional to 3,804.53, 5,707.32 and 1,433.39

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Solution

The fourth proportional to 3,804.53, 5,707.32 and 1,433.39 is: 2,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.53 : 5,707.32 = 1,433.39 : x
  2. Step 2: Convert to fraction form
    3,804.53/5,707.32 = 1,433.39/x
  3. Step 3: Cross multiply
    3,804.53x = 5,707.32 × 1,433.39
  4. Step 4: Simplify right side
    3,804.53x = 8,180,815.41
  5. Step 5: Solve for x
    x = 8,180,815.41/3,804.53
  6. Step 6: Final answer
    x = 2,150.28

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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.