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Finding the Fourth Proportional to 3,884.94, 5,364.12 and 2,707.59

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Solution

The fourth proportional to 3,884.94, 5,364.12 and 2,707.59 is: 3,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.94 : 5,364.12 = 2,707.59 : x
  2. Step 2: Convert to fraction form
    3,884.94/5,364.12 = 2,707.59/x
  3. Step 3: Cross multiply
    3,884.94x = 5,364.12 × 2,707.59
  4. Step 4: Simplify right side
    3,884.94x = 14,523,837.67
  5. Step 5: Solve for x
    x = 14,523,837.67/3,884.94
  6. Step 6: Final answer
    x = 3,738.50

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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.