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Finding the Fourth Proportional to 5,164.32, 7,746.48 and 3,108

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Solution

The fourth proportional to 5,164.32, 7,746.48 and 3,108 is: 4,662

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.32 : 7,746.48 = 3,108 : x
  2. Step 2: Convert to fraction form
    5,164.32/7,746.48 = 3,108/x
  3. Step 3: Cross multiply
    5,164.32x = 7,746.48 × 3,108
  4. Step 4: Simplify right side
    5,164.32x = 24,076,059.84
  5. Step 5: Solve for x
    x = 24,076,059.84/5,164.32
  6. Step 6: Final answer
    x = 4,662

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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.