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Finding the Fourth Proportional to 4,647.43, 6,967.77 and 3,085.48

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Solution

The fourth proportional to 4,647.43, 6,967.77 and 3,085.48 is: 4,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.43 : 6,967.77 = 3,085.48 : x
  2. Step 2: Convert to fraction form
    4,647.43/6,967.77 = 3,085.48/x
  3. Step 3: Cross multiply
    4,647.43x = 6,967.77 × 3,085.48
  4. Step 4: Simplify right side
    4,647.43x = 21,498,914.98
  5. Step 5: Solve for x
    x = 21,498,914.98/4,647.43
  6. Step 6: Final answer
    x = 4,625.98

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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.