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Finding the Fourth Proportional to 5,942.64, 8,201.06 and 3,846.76

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Solution

The fourth proportional to 5,942.64, 8,201.06 and 3,846.76 is: 5,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.64 : 8,201.06 = 3,846.76 : x
  2. Step 2: Convert to fraction form
    5,942.64/8,201.06 = 3,846.76/x
  3. Step 3: Cross multiply
    5,942.64x = 8,201.06 × 3,846.76
  4. Step 4: Simplify right side
    5,942.64x = 31,547,509.57
  5. Step 5: Solve for x
    x = 31,547,509.57/5,942.64
  6. Step 6: Final answer
    x = 5,308.67

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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.