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Finding the Fourth Proportional to 5,788.28, 7,956.94 and 5,751.84

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Solution

The fourth proportional to 5,788.28, 7,956.94 and 5,751.84 is: 7,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.28 : 7,956.94 = 5,751.84 : x
  2. Step 2: Convert to fraction form
    5,788.28/7,956.94 = 5,751.84/x
  3. Step 3: Cross multiply
    5,788.28x = 7,956.94 × 5,751.84
  4. Step 4: Simplify right side
    5,788.28x = 45,767,045.77
  5. Step 5: Solve for x
    x = 45,767,045.77/5,788.28
  6. Step 6: Final answer
    x = 7,906.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.