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Finding the Fourth Proportional to 4,543.96, 6,809.64 and 2,203

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Solution

The fourth proportional to 4,543.96, 6,809.64 and 2,203 is: 3,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.96 : 6,809.64 = 2,203 : x
  2. Step 2: Convert to fraction form
    4,543.96/6,809.64 = 2,203/x
  3. Step 3: Cross multiply
    4,543.96x = 6,809.64 × 2,203
  4. Step 4: Simplify right side
    4,543.96x = 15,001,636.92
  5. Step 5: Solve for x
    x = 15,001,636.92/4,543.96
  6. Step 6: Final answer
    x = 3,301.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.