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Finding the Fourth Proportional to 3,878.56, 5,352.47 and 2,199.93

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Solution

The fourth proportional to 3,878.56, 5,352.47 and 2,199.93 is: 3,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.56 : 5,352.47 = 2,199.93 : x
  2. Step 2: Convert to fraction form
    3,878.56/5,352.47 = 2,199.93/x
  3. Step 3: Cross multiply
    3,878.56x = 5,352.47 × 2,199.93
  4. Step 4: Simplify right side
    3,878.56x = 11,775,059.33
  5. Step 5: Solve for x
    x = 11,775,059.33/3,878.56
  6. Step 6: Final answer
    x = 3,035.94

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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.