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Finding the Fourth Proportional to 5,468, 7,546.08 and 2,984

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Solution

The fourth proportional to 5,468, 7,546.08 and 2,984 is: 4,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468 : 7,546.08 = 2,984 : x
  2. Step 2: Convert to fraction form
    5,468/7,546.08 = 2,984/x
  3. Step 3: Cross multiply
    5,468x = 7,546.08 × 2,984
  4. Step 4: Simplify right side
    5,468x = 22,517,502.72
  5. Step 5: Solve for x
    x = 22,517,502.72/5,468
  6. Step 6: Final answer
    x = 4,118.05

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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.