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Finding the Fourth Proportional to 6,090.52, 9,134.70 and 1,986.52

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Solution

The fourth proportional to 6,090.52, 9,134.70 and 1,986.52 is: 2,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.52 : 9,134.70 = 1,986.52 : x
  2. Step 2: Convert to fraction form
    6,090.52/9,134.70 = 1,986.52/x
  3. Step 3: Cross multiply
    6,090.52x = 9,134.70 × 1,986.52
  4. Step 4: Simplify right side
    6,090.52x = 18,146,264.24
  5. Step 5: Solve for x
    x = 18,146,264.24/6,090.52
  6. Step 6: Final answer
    x = 2,979.43

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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.