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Finding the Fourth Proportional to 4,496.94, 6,745.16 and 1,376.95

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Solution

The fourth proportional to 4,496.94, 6,745.16 and 1,376.95 is: 2,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.94 : 6,745.16 = 1,376.95 : x
  2. Step 2: Convert to fraction form
    4,496.94/6,745.16 = 1,376.95/x
  3. Step 3: Cross multiply
    4,496.94x = 6,745.16 × 1,376.95
  4. Step 4: Simplify right side
    4,496.94x = 9,287,714.34
  5. Step 5: Solve for x
    x = 9,287,714.34/4,496.94
  6. Step 6: Final answer
    x = 2,065.34

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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.