Home / 5,743-7,924.10-3,384.28

Finding the Fourth Proportional to 5,743, 7,924.10 and 3,384.28

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Solution

The fourth proportional to 5,743, 7,924.10 and 3,384.28 is: 4,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743 : 7,924.10 = 3,384.28 : x
  2. Step 2: Convert to fraction form
    5,743/7,924.10 = 3,384.28/x
  3. Step 3: Cross multiply
    5,743x = 7,924.10 × 3,384.28
  4. Step 4: Simplify right side
    5,743x = 26,817,373.15
  5. Step 5: Solve for x
    x = 26,817,373.15/5,743
  6. Step 6: Final answer
    x = 4,669.58

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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.