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Finding the Fourth Proportional to 5,442.50, 8,138.83 and 4,056.80

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Solution

The fourth proportional to 5,442.50, 8,138.83 and 4,056.80 is: 6,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.50 : 8,138.83 = 4,056.80 : x
  2. Step 2: Convert to fraction form
    5,442.50/8,138.83 = 4,056.80/x
  3. Step 3: Cross multiply
    5,442.50x = 8,138.83 × 4,056.80
  4. Step 4: Simplify right side
    5,442.50x = 33,017,605.54
  5. Step 5: Solve for x
    x = 33,017,605.54/5,442.50
  6. Step 6: Final answer
    x = 6,066.62

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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.