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Finding the Fourth Proportional to 4,653.96, 6,418.62 and 3,159.42

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Solution

The fourth proportional to 4,653.96, 6,418.62 and 3,159.42 is: 4,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.96 : 6,418.62 = 3,159.42 : x
  2. Step 2: Convert to fraction form
    4,653.96/6,418.62 = 3,159.42/x
  3. Step 3: Cross multiply
    4,653.96x = 6,418.62 × 3,159.42
  4. Step 4: Simplify right side
    4,653.96x = 20,279,116.40
  5. Step 5: Solve for x
    x = 20,279,116.40/4,653.96
  6. Step 6: Final answer
    x = 4,357.39

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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.