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Finding the Fourth Proportional to 3,195.52, 4,758.56 and 3,184

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Solution

The fourth proportional to 3,195.52, 4,758.56 and 3,184 is: 4,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.52 : 4,758.56 = 3,184 : x
  2. Step 2: Convert to fraction form
    3,195.52/4,758.56 = 3,184/x
  3. Step 3: Cross multiply
    3,195.52x = 4,758.56 × 3,184
  4. Step 4: Simplify right side
    3,195.52x = 15,151,255.04
  5. Step 5: Solve for x
    x = 15,151,255.04/3,195.52
  6. Step 6: Final answer
    x = 4,741.41

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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.