Home / 4,206-5,804.16-2,317.59

Finding the Fourth Proportional to 4,206, 5,804.16 and 2,317.59

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Solution

The fourth proportional to 4,206, 5,804.16 and 2,317.59 is: 3,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 5,804.16 = 2,317.59 : x
  2. Step 2: Convert to fraction form
    4,206/5,804.16 = 2,317.59/x
  3. Step 3: Cross multiply
    4,206x = 5,804.16 × 2,317.59
  4. Step 4: Simplify right side
    4,206x = 13,451,663.17
  5. Step 5: Solve for x
    x = 13,451,663.17/4,206
  6. Step 6: Final answer
    x = 3,198.21

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Why These Related Problems?

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