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Finding the Fourth Proportional to 3,620.08, 4,995.64 and 2,378

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Solution

The fourth proportional to 3,620.08, 4,995.64 and 2,378 is: 3,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.08 : 4,995.64 = 2,378 : x
  2. Step 2: Convert to fraction form
    3,620.08/4,995.64 = 2,378/x
  3. Step 3: Cross multiply
    3,620.08x = 4,995.64 × 2,378
  4. Step 4: Simplify right side
    3,620.08x = 11,879,631.92
  5. Step 5: Solve for x
    x = 11,879,631.92/3,620.08
  6. Step 6: Final answer
    x = 3,281.59

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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.