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Finding the Fourth Proportional to 6,289.38, 8,674.32 and 5,581.74

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Solution

The fourth proportional to 6,289.38, 8,674.32 and 5,581.74 is: 7,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.38 : 8,674.32 = 5,581.74 : x
  2. Step 2: Convert to fraction form
    6,289.38/8,674.32 = 5,581.74/x
  3. Step 3: Cross multiply
    6,289.38x = 8,674.32 × 5,581.74
  4. Step 4: Simplify right side
    6,289.38x = 48,417,798.92
  5. Step 5: Solve for x
    x = 48,417,798.92/6,289.38
  6. Step 6: Final answer
    x = 7,698.34

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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.