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Finding the Fourth Proportional to 5,302.94, 7,954.45 and 2,016.98

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Solution

The fourth proportional to 5,302.94, 7,954.45 and 2,016.98 is: 3,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.94 : 7,954.45 = 2,016.98 : x
  2. Step 2: Convert to fraction form
    5,302.94/7,954.45 = 2,016.98/x
  3. Step 3: Cross multiply
    5,302.94x = 7,954.45 × 2,016.98
  4. Step 4: Simplify right side
    5,302.94x = 16,043,921.75
  5. Step 5: Solve for x
    x = 16,043,921.75/5,302.94
  6. Step 6: Final answer
    x = 3,025.48

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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.