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Finding the Fourth Proportional to 6,353.36, 8,767.38 and 3,700.76

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Solution

The fourth proportional to 6,353.36, 8,767.38 and 3,700.76 is: 5,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.36 : 8,767.38 = 3,700.76 : x
  2. Step 2: Convert to fraction form
    6,353.36/8,767.38 = 3,700.76/x
  3. Step 3: Cross multiply
    6,353.36x = 8,767.38 × 3,700.76
  4. Step 4: Simplify right side
    6,353.36x = 32,445,969.21
  5. Step 5: Solve for x
    x = 32,445,969.21/6,353.36
  6. Step 6: Final answer
    x = 5,106.90

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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.