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Finding the Fourth Proportional to 3,221.71, 4,444.74 and 1,894.93

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Solution

The fourth proportional to 3,221.71, 4,444.74 and 1,894.93 is: 2,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.71 : 4,444.74 = 1,894.93 : x
  2. Step 2: Convert to fraction form
    3,221.71/4,444.74 = 1,894.93/x
  3. Step 3: Cross multiply
    3,221.71x = 4,444.74 × 1,894.93
  4. Step 4: Simplify right side
    3,221.71x = 8,422,460.06
  5. Step 5: Solve for x
    x = 8,422,460.06/3,221.71
  6. Step 6: Final answer
    x = 2,614.28

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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.