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Finding the Fourth Proportional to 4,736.06, 7,109.10 and 2,657.80

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Solution

The fourth proportional to 4,736.06, 7,109.10 and 2,657.80 is: 3,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.06 : 7,109.10 = 2,657.80 : x
  2. Step 2: Convert to fraction form
    4,736.06/7,109.10 = 2,657.80/x
  3. Step 3: Cross multiply
    4,736.06x = 7,109.10 × 2,657.80
  4. Step 4: Simplify right side
    4,736.06x = 18,894,565.98
  5. Step 5: Solve for x
    x = 18,894,565.98/4,736.06
  6. Step 6: Final answer
    x = 3,989.51

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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.