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Finding the Fourth Proportional to 3,370.56, 5,064.06 and 3,184.05

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Solution

The fourth proportional to 3,370.56, 5,064.06 and 3,184.05 is: 4,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.56 : 5,064.06 = 3,184.05 : x
  2. Step 2: Convert to fraction form
    3,370.56/5,064.06 = 3,184.05/x
  3. Step 3: Cross multiply
    3,370.56x = 5,064.06 × 3,184.05
  4. Step 4: Simplify right side
    3,370.56x = 16,124,220.24
  5. Step 5: Solve for x
    x = 16,124,220.24/3,370.56
  6. Step 6: Final answer
    x = 4,783.84

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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.