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Finding the Fourth Proportional to 6,031.20, 8,322.60 and 3,378

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Solution

The fourth proportional to 6,031.20, 8,322.60 and 3,378 is: 4,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.20 : 8,322.60 = 3,378 : x
  2. Step 2: Convert to fraction form
    6,031.20/8,322.60 = 3,378/x
  3. Step 3: Cross multiply
    6,031.20x = 8,322.60 × 3,378
  4. Step 4: Simplify right side
    6,031.20x = 28,113,742.80
  5. Step 5: Solve for x
    x = 28,113,742.80/6,031.20
  6. Step 6: Final answer
    x = 4,661.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.