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Finding the Fourth Proportional to 6,359.86, 8,776.65 and 3,707.38

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Solution

The fourth proportional to 6,359.86, 8,776.65 and 3,707.38 is: 5,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.86 : 8,776.65 = 3,707.38 : x
  2. Step 2: Convert to fraction form
    6,359.86/8,776.65 = 3,707.38/x
  3. Step 3: Cross multiply
    6,359.86x = 8,776.65 × 3,707.38
  4. Step 4: Simplify right side
    6,359.86x = 32,538,376.68
  5. Step 5: Solve for x
    x = 32,538,376.68/6,359.86
  6. Step 6: Final answer
    x = 5,116.21

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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.