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Finding the Fourth Proportional to 3,456, 5,186.34 and 1,507.08

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Solution

The fourth proportional to 3,456, 5,186.34 and 1,507.08 is: 2,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 5,186.34 = 1,507.08 : x
  2. Step 2: Convert to fraction form
    3,456/5,186.34 = 1,507.08/x
  3. Step 3: Cross multiply
    3,456x = 5,186.34 × 1,507.08
  4. Step 4: Simplify right side
    3,456x = 7,816,229.29
  5. Step 5: Solve for x
    x = 7,816,229.29/3,456
  6. Step 6: Final answer
    x = 2,261.64

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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.