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Finding the Fourth Proportional to 6,031.12, 9,039.12 and 3,435.52

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Solution

The fourth proportional to 6,031.12, 9,039.12 and 3,435.52 is: 5,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.12 : 9,039.12 = 3,435.52 : x
  2. Step 2: Convert to fraction form
    6,031.12/9,039.12 = 3,435.52/x
  3. Step 3: Cross multiply
    6,031.12x = 9,039.12 × 3,435.52
  4. Step 4: Simplify right side
    6,031.12x = 31,054,077.54
  5. Step 5: Solve for x
    x = 31,054,077.54/6,031.12
  6. Step 6: Final answer
    x = 5,148.97

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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.