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Finding the Fourth Proportional to 5,442.84, 8,164.25 and 1,546.74

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Solution

The fourth proportional to 5,442.84, 8,164.25 and 1,546.74 is: 2,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.84 : 8,164.25 = 1,546.74 : x
  2. Step 2: Convert to fraction form
    5,442.84/8,164.25 = 1,546.74/x
  3. Step 3: Cross multiply
    5,442.84x = 8,164.25 × 1,546.74
  4. Step 4: Simplify right side
    5,442.84x = 12,627,972.05
  5. Step 5: Solve for x
    x = 12,627,972.05/5,442.84
  6. Step 6: Final answer
    x = 2,320.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.