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Finding the Fourth Proportional to 5,405.28, 7,458.84 and 3,048

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Solution

The fourth proportional to 5,405.28, 7,458.84 and 3,048 is: 4,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.28 : 7,458.84 = 3,048 : x
  2. Step 2: Convert to fraction form
    5,405.28/7,458.84 = 3,048/x
  3. Step 3: Cross multiply
    5,405.28x = 7,458.84 × 3,048
  4. Step 4: Simplify right side
    5,405.28x = 22,734,544.32
  5. Step 5: Solve for x
    x = 22,734,544.32/5,405.28
  6. Step 6: Final answer
    x = 4,205.99

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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.