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Finding the Fourth Proportional to 3,804.42, 5,709.36 and 1,341.32

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Solution

The fourth proportional to 3,804.42, 5,709.36 and 1,341.32 is: 2,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.42 : 5,709.36 = 1,341.32 : x
  2. Step 2: Convert to fraction form
    3,804.42/5,709.36 = 1,341.32/x
  3. Step 3: Cross multiply
    3,804.42x = 5,709.36 × 1,341.32
  4. Step 4: Simplify right side
    3,804.42x = 7,658,078.76
  5. Step 5: Solve for x
    x = 7,658,078.76/3,804.42
  6. Step 6: Final answer
    x = 2,012.94

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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.