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Finding the Fourth Proportional to 3,774.68, 5,662.38 and 1,466.36

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Solution

The fourth proportional to 3,774.68, 5,662.38 and 1,466.36 is: 2,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.68 : 5,662.38 = 1,466.36 : x
  2. Step 2: Convert to fraction form
    3,774.68/5,662.38 = 1,466.36/x
  3. Step 3: Cross multiply
    3,774.68x = 5,662.38 × 1,466.36
  4. Step 4: Simplify right side
    3,774.68x = 8,303,087.54
  5. Step 5: Solve for x
    x = 8,303,087.54/3,774.68
  6. Step 6: Final answer
    x = 2,199.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.