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Finding the Fourth Proportional to 3,447.16, 4,756.73 and 1,954.77

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Solution

The fourth proportional to 3,447.16, 4,756.73 and 1,954.77 is: 2,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.16 : 4,756.73 = 1,954.77 : x
  2. Step 2: Convert to fraction form
    3,447.16/4,756.73 = 1,954.77/x
  3. Step 3: Cross multiply
    3,447.16x = 4,756.73 × 1,954.77
  4. Step 4: Simplify right side
    3,447.16x = 9,298,285.49
  5. Step 5: Solve for x
    x = 9,298,285.49/3,447.16
  6. Step 6: Final answer
    x = 2,697.38

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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.