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Finding the Fourth Proportional to 3,946.51, 5,444.52 and 2,768.35

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Solution

The fourth proportional to 3,946.51, 5,444.52 and 2,768.35 is: 3,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.51 : 5,444.52 = 2,768.35 : x
  2. Step 2: Convert to fraction form
    3,946.51/5,444.52 = 2,768.35/x
  3. Step 3: Cross multiply
    3,946.51x = 5,444.52 × 2,768.35
  4. Step 4: Simplify right side
    3,946.51x = 15,072,309.72
  5. Step 5: Solve for x
    x = 15,072,309.72/3,946.51
  6. Step 6: Final answer
    x = 3,819.15

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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.