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Finding the Fourth Proportional to 3,564.50, 5,342.03 and 2,580.60

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Solution

The fourth proportional to 3,564.50, 5,342.03 and 2,580.60 is: 3,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.50 : 5,342.03 = 2,580.60 : x
  2. Step 2: Convert to fraction form
    3,564.50/5,342.03 = 2,580.60/x
  3. Step 3: Cross multiply
    3,564.50x = 5,342.03 × 2,580.60
  4. Step 4: Simplify right side
    3,564.50x = 13,785,642.62
  5. Step 5: Solve for x
    x = 13,785,642.62/3,564.50
  6. Step 6: Final answer
    x = 3,867.48

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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.