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Finding the Fourth Proportional to 4,563.54, 6,842.83 and 1,442.66

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Solution

The fourth proportional to 4,563.54, 6,842.83 and 1,442.66 is: 2,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.54 : 6,842.83 = 1,442.66 : x
  2. Step 2: Convert to fraction form
    4,563.54/6,842.83 = 1,442.66/x
  3. Step 3: Cross multiply
    4,563.54x = 6,842.83 × 1,442.66
  4. Step 4: Simplify right side
    4,563.54x = 9,871,880.50
  5. Step 5: Solve for x
    x = 9,871,880.50/4,563.54
  6. Step 6: Final answer
    x = 2,163.21

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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.