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Finding the Fourth Proportional to 4,603.80, 6,353.83 and 3,428.22

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Solution

The fourth proportional to 4,603.80, 6,353.83 and 3,428.22 is: 4,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.80 : 6,353.83 = 3,428.22 : x
  2. Step 2: Convert to fraction form
    4,603.80/6,353.83 = 3,428.22/x
  3. Step 3: Cross multiply
    4,603.80x = 6,353.83 × 3,428.22
  4. Step 4: Simplify right side
    4,603.80x = 21,782,327.08
  5. Step 5: Solve for x
    x = 21,782,327.08/4,603.80
  6. Step 6: Final answer
    x = 4,731.38

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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.