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Finding the Fourth Proportional to 5,442.35, 8,164.85 and 1,546.74

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Solution

The fourth proportional to 5,442.35, 8,164.85 and 1,546.74 is: 2,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.35 : 8,164.85 = 1,546.74 : x
  2. Step 2: Convert to fraction form
    5,442.35/8,164.85 = 1,546.74/x
  3. Step 3: Cross multiply
    5,442.35x = 8,164.85 × 1,546.74
  4. Step 4: Simplify right side
    5,442.35x = 12,628,892.36
  5. Step 5: Solve for x
    x = 12,628,892.36/5,442.35
  6. Step 6: Final answer
    x = 2,320.49

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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.