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Finding the Fourth Proportional to 4,074.81, 6,106.74 and 2,223.15

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Solution

The fourth proportional to 4,074.81, 6,106.74 and 2,223.15 is: 3,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.81 : 6,106.74 = 2,223.15 : x
  2. Step 2: Convert to fraction form
    4,074.81/6,106.74 = 2,223.15/x
  3. Step 3: Cross multiply
    4,074.81x = 6,106.74 × 2,223.15
  4. Step 4: Simplify right side
    4,074.81x = 13,576,199.03
  5. Step 5: Solve for x
    x = 13,576,199.03/4,074.81
  6. Step 6: Final answer
    x = 3,331.74

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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.