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Finding the Fourth Proportional to 4,735.38, 7,104.38 and 4,218.95

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Solution

The fourth proportional to 4,735.38, 7,104.38 and 4,218.95 is: 6,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.38 : 7,104.38 = 4,218.95 : x
  2. Step 2: Convert to fraction form
    4,735.38/7,104.38 = 4,218.95/x
  3. Step 3: Cross multiply
    4,735.38x = 7,104.38 × 4,218.95
  4. Step 4: Simplify right side
    4,735.38x = 29,973,024.00
  5. Step 5: Solve for x
    x = 29,973,024.00/4,735.38
  6. Step 6: Final answer
    x = 6,329.59

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