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Finding the Fourth Proportional to 5,406.16, 7,460.76 and 3,168

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Solution

The fourth proportional to 5,406.16, 7,460.76 and 3,168 is: 4,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.16 : 7,460.76 = 3,168 : x
  2. Step 2: Convert to fraction form
    5,406.16/7,460.76 = 3,168/x
  3. Step 3: Cross multiply
    5,406.16x = 7,460.76 × 3,168
  4. Step 4: Simplify right side
    5,406.16x = 23,635,687.68
  5. Step 5: Solve for x
    x = 23,635,687.68/5,406.16
  6. Step 6: Final answer
    x = 4,371.99

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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.