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Finding the Fourth Proportional to 6,359.70, 8,776.38 and 3,565.20

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Solution

The fourth proportional to 6,359.70, 8,776.38 and 3,565.20 is: 4,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.70 : 8,776.38 = 3,565.20 : x
  2. Step 2: Convert to fraction form
    6,359.70/8,776.38 = 3,565.20/x
  3. Step 3: Cross multiply
    6,359.70x = 8,776.38 × 3,565.20
  4. Step 4: Simplify right side
    6,359.70x = 31,289,526.84
  5. Step 5: Solve for x
    x = 31,289,526.84/6,359.70
  6. Step 6: Final answer
    x = 4,919.97

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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.