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Finding the Fourth Proportional to 4,704.35, 7,046.96 and 3,055.90

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Solution

The fourth proportional to 4,704.35, 7,046.96 and 3,055.90 is: 4,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.35 : 7,046.96 = 3,055.90 : x
  2. Step 2: Convert to fraction form
    4,704.35/7,046.96 = 3,055.90/x
  3. Step 3: Cross multiply
    4,704.35x = 7,046.96 × 3,055.90
  4. Step 4: Simplify right side
    4,704.35x = 21,534,805.06
  5. Step 5: Solve for x
    x = 21,534,805.06/4,704.35
  6. Step 6: Final answer
    x = 4,577.64

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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.