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Finding the Fourth Proportional to 4,064.67, 6,097.01 and 986.67

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Solution

The fourth proportional to 4,064.67, 6,097.01 and 986.67 is: 1,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.67 : 6,097.01 = 986.67 : x
  2. Step 2: Convert to fraction form
    4,064.67/6,097.01 = 986.67/x
  3. Step 3: Cross multiply
    4,064.67x = 6,097.01 × 986.67
  4. Step 4: Simplify right side
    4,064.67x = 6,015,731.92
  5. Step 5: Solve for x
    x = 6,015,731.92/4,064.67
  6. Step 6: Final answer
    x = 1,480.01

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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.