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Finding the Fourth Proportional to 4,071, 5,618 and 2,208

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Solution

The fourth proportional to 4,071, 5,618 and 2,208 is: 3,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071 : 5,618 = 2,208 : x
  2. Step 2: Convert to fraction form
    4,071/5,618 = 2,208/x
  3. Step 3: Cross multiply
    4,071x = 5,618 × 2,208
  4. Step 4: Simplify right side
    4,071x = 12,404,544
  5. Step 5: Solve for x
    x = 12,404,544/4,071
  6. Step 6: Final answer
    x = 3,047.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.