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Finding the Fourth Proportional to 4,735.90, 7,097.91 and 2,783.26

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Solution

The fourth proportional to 4,735.90, 7,097.91 and 2,783.26 is: 4,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.90 : 7,097.91 = 2,783.26 : x
  2. Step 2: Convert to fraction form
    4,735.90/7,097.91 = 2,783.26/x
  3. Step 3: Cross multiply
    4,735.90x = 7,097.91 × 2,783.26
  4. Step 4: Simplify right side
    4,735.90x = 19,755,328.99
  5. Step 5: Solve for x
    x = 19,755,328.99/4,735.90
  6. Step 6: Final answer
    x = 4,171.40

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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.