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Finding the Fourth Proportional to 4,596.49, 6,327.13 and 4,006

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Solution

The fourth proportional to 4,596.49, 6,327.13 and 4,006 is: 5,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.49 : 6,327.13 = 4,006 : x
  2. Step 2: Convert to fraction form
    4,596.49/6,327.13 = 4,006/x
  3. Step 3: Cross multiply
    4,596.49x = 6,327.13 × 4,006
  4. Step 4: Simplify right side
    4,596.49x = 25,346,482.78
  5. Step 5: Solve for x
    x = 25,346,482.78/4,596.49
  6. Step 6: Final answer
    x = 5,514.31

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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.