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Finding the Fourth Proportional to 3,380.65, 5,071.88 and 3,055.33

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Solution

The fourth proportional to 3,380.65, 5,071.88 and 3,055.33 is: 4,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.65 : 5,071.88 = 3,055.33 : x
  2. Step 2: Convert to fraction form
    3,380.65/5,071.88 = 3,055.33/x
  3. Step 3: Cross multiply
    3,380.65x = 5,071.88 × 3,055.33
  4. Step 4: Simplify right side
    3,380.65x = 15,496,281.10
  5. Step 5: Solve for x
    x = 15,496,281.10/3,380.65
  6. Step 6: Final answer
    x = 4,583.82

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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.