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Finding the Fourth Proportional to 4,266.84, 6,403.92 and 3,037.26

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Solution

The fourth proportional to 4,266.84, 6,403.92 and 3,037.26 is: 4,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.84 : 6,403.92 = 3,037.26 : x
  2. Step 2: Convert to fraction form
    4,266.84/6,403.92 = 3,037.26/x
  3. Step 3: Cross multiply
    4,266.84x = 6,403.92 × 3,037.26
  4. Step 4: Simplify right side
    4,266.84x = 19,450,370.06
  5. Step 5: Solve for x
    x = 19,450,370.06/4,266.84
  6. Step 6: Final answer
    x = 4,558.50

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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.