Home / 4,084-6,126.54-3,442.48

Finding the Fourth Proportional to 4,084, 6,126.54 and 3,442.48

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Solution

The fourth proportional to 4,084, 6,126.54 and 3,442.48 is: 5,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084 : 6,126.54 = 3,442.48 : x
  2. Step 2: Convert to fraction form
    4,084/6,126.54 = 3,442.48/x
  3. Step 3: Cross multiply
    4,084x = 6,126.54 × 3,442.48
  4. Step 4: Simplify right side
    4,084x = 21,090,491.42
  5. Step 5: Solve for x
    x = 21,090,491.42/4,084
  6. Step 6: Final answer
    x = 5,164.18

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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.