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Finding the Fourth Proportional to 4,928.94, 7,393.77 and 1,418.81

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Solution

The fourth proportional to 4,928.94, 7,393.77 and 1,418.81 is: 2,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.94 : 7,393.77 = 1,418.81 : x
  2. Step 2: Convert to fraction form
    4,928.94/7,393.77 = 1,418.81/x
  3. Step 3: Cross multiply
    4,928.94x = 7,393.77 × 1,418.81
  4. Step 4: Simplify right side
    4,928.94x = 10,490,317.84
  5. Step 5: Solve for x
    x = 10,490,317.84/4,928.94
  6. Step 6: Final answer
    x = 2,128.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.