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Finding the Fourth Proportional to 3,316.06, 4,974.10 and 850.89

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Solution

The fourth proportional to 3,316.06, 4,974.10 and 850.89 is: 1,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.06 : 4,974.10 = 850.89 : x
  2. Step 2: Convert to fraction form
    3,316.06/4,974.10 = 850.89/x
  3. Step 3: Cross multiply
    3,316.06x = 4,974.10 × 850.89
  4. Step 4: Simplify right side
    3,316.06x = 4,232,411.95
  5. Step 5: Solve for x
    x = 4,232,411.95/3,316.06
  6. Step 6: Final answer
    x = 1,276.34

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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.