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Finding the Fourth Proportional to 4,613.36, 6,324.23 and 4,529.52

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Solution

The fourth proportional to 4,613.36, 6,324.23 and 4,529.52 is: 6,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.36 : 6,324.23 = 4,529.52 : x
  2. Step 2: Convert to fraction form
    4,613.36/6,324.23 = 4,529.52/x
  3. Step 3: Cross multiply
    4,613.36x = 6,324.23 × 4,529.52
  4. Step 4: Simplify right side
    4,613.36x = 28,645,712.11
  5. Step 5: Solve for x
    x = 28,645,712.11/4,613.36
  6. Step 6: Final answer
    x = 6,209.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.