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Finding the Fourth Proportional to 4,496.54, 6,745.74 and 1,376.36

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Solution

The fourth proportional to 4,496.54, 6,745.74 and 1,376.36 is: 2,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.54 : 6,745.74 = 1,376.36 : x
  2. Step 2: Convert to fraction form
    4,496.54/6,745.74 = 1,376.36/x
  3. Step 3: Cross multiply
    4,496.54x = 6,745.74 × 1,376.36
  4. Step 4: Simplify right side
    4,496.54x = 9,284,566.71
  5. Step 5: Solve for x
    x = 9,284,566.71/4,496.54
  6. Step 6: Final answer
    x = 2,064.82

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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.