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Finding the Fourth Proportional to 4,162.96, 5,743.38 and 2,547.33

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Solution

The fourth proportional to 4,162.96, 5,743.38 and 2,547.33 is: 3,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.96 : 5,743.38 = 2,547.33 : x
  2. Step 2: Convert to fraction form
    4,162.96/5,743.38 = 2,547.33/x
  3. Step 3: Cross multiply
    4,162.96x = 5,743.38 × 2,547.33
  4. Step 4: Simplify right side
    4,162.96x = 14,630,284.18
  5. Step 5: Solve for x
    x = 14,630,284.18/4,162.96
  6. Step 6: Final answer
    x = 3,514.39

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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.