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Finding the Fourth Proportional to 3,563.74, 5,346.48 and 1,342.60

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Solution

The fourth proportional to 3,563.74, 5,346.48 and 1,342.60 is: 2,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.74 : 5,346.48 = 1,342.60 : x
  2. Step 2: Convert to fraction form
    3,563.74/5,346.48 = 1,342.60/x
  3. Step 3: Cross multiply
    3,563.74x = 5,346.48 × 1,342.60
  4. Step 4: Simplify right side
    3,563.74x = 7,178,184.05
  5. Step 5: Solve for x
    x = 7,178,184.05/3,563.74
  6. Step 6: Final answer
    x = 2,014.23

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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.