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Finding the Fourth Proportional to 5,201.51, 7,181.51 and 3,214.98

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Solution

The fourth proportional to 5,201.51, 7,181.51 and 3,214.98 is: 4,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.51 : 7,181.51 = 3,214.98 : x
  2. Step 2: Convert to fraction form
    5,201.51/7,181.51 = 3,214.98/x
  3. Step 3: Cross multiply
    5,201.51x = 7,181.51 × 3,214.98
  4. Step 4: Simplify right side
    5,201.51x = 23,088,394.94
  5. Step 5: Solve for x
    x = 23,088,394.94/5,201.51
  6. Step 6: Final answer
    x = 4,438.79

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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.