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Finding the Fourth Proportional to 4,064.55, 6,096.83 and 986.55

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Solution

The fourth proportional to 4,064.55, 6,096.83 and 986.55 is: 1,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.55 : 6,096.83 = 986.55 : x
  2. Step 2: Convert to fraction form
    4,064.55/6,096.83 = 986.55/x
  3. Step 3: Cross multiply
    4,064.55x = 6,096.83 × 986.55
  4. Step 4: Simplify right side
    4,064.55x = 6,014,858.22
  5. Step 5: Solve for x
    x = 6,014,858.22/4,064.55
  6. Step 6: Final answer
    x = 1,479.83

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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.