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Finding the Fourth Proportional to 6,444.97, 8,894.06 and 3,650.47

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Solution

The fourth proportional to 6,444.97, 8,894.06 and 3,650.47 is: 5,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.97 : 8,894.06 = 3,650.47 : x
  2. Step 2: Convert to fraction form
    6,444.97/8,894.06 = 3,650.47/x
  3. Step 3: Cross multiply
    6,444.97x = 8,894.06 × 3,650.47
  4. Step 4: Simplify right side
    6,444.97x = 32,467,478.96
  5. Step 5: Solve for x
    x = 32,467,478.96/6,444.97
  6. Step 6: Final answer
    x = 5,037.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.