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Finding the Fourth Proportional to 5,438.75, 7,505.48 and 2,954.75

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Solution

The fourth proportional to 5,438.75, 7,505.48 and 2,954.75 is: 4,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.75 : 7,505.48 = 2,954.75 : x
  2. Step 2: Convert to fraction form
    5,438.75/7,505.48 = 2,954.75/x
  3. Step 3: Cross multiply
    5,438.75x = 7,505.48 × 2,954.75
  4. Step 4: Simplify right side
    5,438.75x = 22,176,802.26
  5. Step 5: Solve for x
    x = 22,176,802.26/5,438.75
  6. Step 6: Final answer
    x = 4,077.56

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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.