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Finding the Fourth Proportional to 6,090.72, 9,089.46 and 5,434.56

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Solution

The fourth proportional to 6,090.72, 9,089.46 and 5,434.56 is: 8,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.72 : 9,089.46 = 5,434.56 : x
  2. Step 2: Convert to fraction form
    6,090.72/9,089.46 = 5,434.56/x
  3. Step 3: Cross multiply
    6,090.72x = 9,089.46 × 5,434.56
  4. Step 4: Simplify right side
    6,090.72x = 49,397,215.74
  5. Step 5: Solve for x
    x = 49,397,215.74/6,090.72
  6. Step 6: Final answer
    x = 8,110.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.