Home / 4,206-5,804.40-2,343.12

Finding the Fourth Proportional to 4,206, 5,804.40 and 2,343.12

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Solution

The fourth proportional to 4,206, 5,804.40 and 2,343.12 is: 3,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 5,804.40 = 2,343.12 : x
  2. Step 2: Convert to fraction form
    4,206/5,804.40 = 2,343.12/x
  3. Step 3: Cross multiply
    4,206x = 5,804.40 × 2,343.12
  4. Step 4: Simplify right side
    4,206x = 13,600,405.73
  5. Step 5: Solve for x
    x = 13,600,405.73/4,206
  6. Step 6: Final answer
    x = 3,233.57

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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.