Home / 4,091.46-5,646-2,323.64

Finding the Fourth Proportional to 4,091.46, 5,646 and 2,323.64

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Solution

The fourth proportional to 4,091.46, 5,646 and 2,323.64 is: 3,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.46 : 5,646 = 2,323.64 : x
  2. Step 2: Convert to fraction form
    4,091.46/5,646 = 2,323.64/x
  3. Step 3: Cross multiply
    4,091.46x = 5,646 × 2,323.64
  4. Step 4: Simplify right side
    4,091.46x = 13,119,243.21
  5. Step 5: Solve for x
    x = 13,119,243.21/4,091.46
  6. Step 6: Final answer
    x = 3,206.49

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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.