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Finding the Fourth Proportional to 5,441.76, 7,509.42 and 3,084.48

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Solution

The fourth proportional to 5,441.76, 7,509.42 and 3,084.48 is: 4,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.76 : 7,509.42 = 3,084.48 : x
  2. Step 2: Convert to fraction form
    5,441.76/7,509.42 = 3,084.48/x
  3. Step 3: Cross multiply
    5,441.76x = 7,509.42 × 3,084.48
  4. Step 4: Simplify right side
    5,441.76x = 23,162,655.80
  5. Step 5: Solve for x
    x = 23,162,655.80/5,441.76
  6. Step 6: Final answer
    x = 4,256.46

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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.