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Finding the Fourth Proportional to 6,031.56, 9,046.24 and 2,520.63

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Solution

The fourth proportional to 6,031.56, 9,046.24 and 2,520.63 is: 3,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.56 : 9,046.24 = 2,520.63 : x
  2. Step 2: Convert to fraction form
    6,031.56/9,046.24 = 2,520.63/x
  3. Step 3: Cross multiply
    6,031.56x = 9,046.24 × 2,520.63
  4. Step 4: Simplify right side
    6,031.56x = 22,802,248.07
  5. Step 5: Solve for x
    x = 22,802,248.07/6,031.56
  6. Step 6: Final answer
    x = 3,780.49

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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.