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Finding the Fourth Proportional to 4,314.42, 5,947.56 and 3,051.36

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Solution

The fourth proportional to 4,314.42, 5,947.56 and 3,051.36 is: 4,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.42 : 5,947.56 = 3,051.36 : x
  2. Step 2: Convert to fraction form
    4,314.42/5,947.56 = 3,051.36/x
  3. Step 3: Cross multiply
    4,314.42x = 5,947.56 × 3,051.36
  4. Step 4: Simplify right side
    4,314.42x = 18,148,146.68
  5. Step 5: Solve for x
    x = 18,148,146.68/4,314.42
  6. Step 6: Final answer
    x = 4,206.39

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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.