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Finding the Fourth Proportional to 3,804.96, 5,707.41 and 1,339.76

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Solution

The fourth proportional to 3,804.96, 5,707.41 and 1,339.76 is: 2,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.96 : 5,707.41 = 1,339.76 : x
  2. Step 2: Convert to fraction form
    3,804.96/5,707.41 = 1,339.76/x
  3. Step 3: Cross multiply
    3,804.96x = 5,707.41 × 1,339.76
  4. Step 4: Simplify right side
    3,804.96x = 7,646,531.08
  5. Step 5: Solve for x
    x = 7,646,531.08/3,804.96
  6. Step 6: Final answer
    x = 2,009.62

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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.