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Finding the Fourth Proportional to 3,754, 5,181.74 and 2,356.75

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Solution

The fourth proportional to 3,754, 5,181.74 and 2,356.75 is: 3,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754 : 5,181.74 = 2,356.75 : x
  2. Step 2: Convert to fraction form
    3,754/5,181.74 = 2,356.75/x
  3. Step 3: Cross multiply
    3,754x = 5,181.74 × 2,356.75
  4. Step 4: Simplify right side
    3,754x = 12,212,065.75
  5. Step 5: Solve for x
    x = 12,212,065.75/3,754
  6. Step 6: Final answer
    x = 3,253.08

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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.