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Finding the Fourth Proportional to 5,116.06, 7,674.06 and 1,316.70

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Solution

The fourth proportional to 5,116.06, 7,674.06 and 1,316.70 is: 1,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.06 : 7,674.06 = 1,316.70 : x
  2. Step 2: Convert to fraction form
    5,116.06/7,674.06 = 1,316.70/x
  3. Step 3: Cross multiply
    5,116.06x = 7,674.06 × 1,316.70
  4. Step 4: Simplify right side
    5,116.06x = 10,104,396.43
  5. Step 5: Solve for x
    x = 10,104,396.43/5,116.06
  6. Step 6: Final answer
    x = 1,975.03

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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.