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Finding the Fourth Proportional to 3,662.96, 5,054.76 and 2,069.66

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Solution

The fourth proportional to 3,662.96, 5,054.76 and 2,069.66 is: 2,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.96 : 5,054.76 = 2,069.66 : x
  2. Step 2: Convert to fraction form
    3,662.96/5,054.76 = 2,069.66/x
  3. Step 3: Cross multiply
    3,662.96x = 5,054.76 × 2,069.66
  4. Step 4: Simplify right side
    3,662.96x = 10,461,647.22
  5. Step 5: Solve for x
    x = 10,461,647.22/3,662.96
  6. Step 6: Final answer
    x = 2,856.07

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1.5x scale

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.