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Finding the Fourth Proportional to 5,438.94, 7,505.74 and 3,081.08

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Solution

The fourth proportional to 5,438.94, 7,505.74 and 3,081.08 is: 4,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.94 : 7,505.74 = 3,081.08 : x
  2. Step 2: Convert to fraction form
    5,438.94/7,505.74 = 3,081.08/x
  3. Step 3: Cross multiply
    5,438.94x = 7,505.74 × 3,081.08
  4. Step 4: Simplify right side
    5,438.94x = 23,125,785.40
  5. Step 5: Solve for x
    x = 23,125,785.40/5,438.94
  6. Step 6: Final answer
    x = 4,251.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.