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Finding the Fourth Proportional to 5,263.67, 7,896.33 and 1,977.01

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Solution

The fourth proportional to 5,263.67, 7,896.33 and 1,977.01 is: 2,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.67 : 7,896.33 = 1,977.01 : x
  2. Step 2: Convert to fraction form
    5,263.67/7,896.33 = 1,977.01/x
  3. Step 3: Cross multiply
    5,263.67x = 7,896.33 × 1,977.01
  4. Step 4: Simplify right side
    5,263.67x = 15,611,123.37
  5. Step 5: Solve for x
    x = 15,611,123.37/5,263.67
  6. Step 6: Final answer
    x = 2,965.83

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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.