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Finding the Fourth Proportional to 5,760.96, 7,947.36 and 3,770.64

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Solution

The fourth proportional to 5,760.96, 7,947.36 and 3,770.64 is: 5,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.96 : 7,947.36 = 3,770.64 : x
  2. Step 2: Convert to fraction form
    5,760.96/7,947.36 = 3,770.64/x
  3. Step 3: Cross multiply
    5,760.96x = 7,947.36 × 3,770.64
  4. Step 4: Simplify right side
    5,760.96x = 29,966,633.51
  5. Step 5: Solve for x
    x = 29,966,633.51/5,760.96
  6. Step 6: Final answer
    x = 5,201.67

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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.