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Finding the Fourth Proportional to 3,540.84, 5,313.05 and 2,507.48

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Solution

The fourth proportional to 3,540.84, 5,313.05 and 2,507.48 is: 3,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.84 : 5,313.05 = 2,507.48 : x
  2. Step 2: Convert to fraction form
    3,540.84/5,313.05 = 2,507.48/x
  3. Step 3: Cross multiply
    3,540.84x = 5,313.05 × 2,507.48
  4. Step 4: Simplify right side
    3,540.84x = 13,322,367.36
  5. Step 5: Solve for x
    x = 13,322,367.36/3,540.84
  6. Step 6: Final answer
    x = 3,762.49

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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.