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Finding the Fourth Proportional to 4,191.04, 5,783.76 and 2,328

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Solution

The fourth proportional to 4,191.04, 5,783.76 and 2,328 is: 3,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.04 : 5,783.76 = 2,328 : x
  2. Step 2: Convert to fraction form
    4,191.04/5,783.76 = 2,328/x
  3. Step 3: Cross multiply
    4,191.04x = 5,783.76 × 2,328
  4. Step 4: Simplify right side
    4,191.04x = 13,464,593.28
  5. Step 5: Solve for x
    x = 13,464,593.28/4,191.04
  6. Step 6: Final answer
    x = 3,212.71

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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.