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Finding the Fourth Proportional to 4,031.78, 6,024.71 and 3,024.54

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Solution

The fourth proportional to 4,031.78, 6,024.71 and 3,024.54 is: 4,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.78 : 6,024.71 = 3,024.54 : x
  2. Step 2: Convert to fraction form
    4,031.78/6,024.71 = 3,024.54/x
  3. Step 3: Cross multiply
    4,031.78x = 6,024.71 × 3,024.54
  4. Step 4: Simplify right side
    4,031.78x = 18,221,983.94
  5. Step 5: Solve for x
    x = 18,221,983.94/4,031.78
  6. Step 6: Final answer
    x = 4,519.59

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