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Finding the Fourth Proportional to 3,447.66, 4,757.88 and 1,955.31

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Solution

The fourth proportional to 3,447.66, 4,757.88 and 1,955.31 is: 2,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.66 : 4,757.88 = 1,955.31 : x
  2. Step 2: Convert to fraction form
    3,447.66/4,757.88 = 1,955.31/x
  3. Step 3: Cross multiply
    3,447.66x = 4,757.88 × 1,955.31
  4. Step 4: Simplify right side
    3,447.66x = 9,303,130.34
  5. Step 5: Solve for x
    x = 9,303,130.34/3,447.66
  6. Step 6: Final answer
    x = 2,698.39

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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.