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Finding the Fourth Proportional to 4,074.59, 5,618 and 3,444

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Solution

The fourth proportional to 4,074.59, 5,618 and 3,444 is: 4,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.59 : 5,618 = 3,444 : x
  2. Step 2: Convert to fraction form
    4,074.59/5,618 = 3,444/x
  3. Step 3: Cross multiply
    4,074.59x = 5,618 × 3,444
  4. Step 4: Simplify right side
    4,074.59x = 19,348,392
  5. Step 5: Solve for x
    x = 19,348,392/4,074.59
  6. Step 6: Final answer
    x = 4,748.55

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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.