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Finding the Fourth Proportional to 6,351.40, 8,765.58 and 3,698.65

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Solution

The fourth proportional to 6,351.40, 8,765.58 and 3,698.65 is: 5,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.40 : 8,765.58 = 3,698.65 : x
  2. Step 2: Convert to fraction form
    6,351.40/8,765.58 = 3,698.65/x
  3. Step 3: Cross multiply
    6,351.40x = 8,765.58 × 3,698.65
  4. Step 4: Simplify right side
    6,351.40x = 32,420,812.47
  5. Step 5: Solve for x
    x = 32,420,812.47/6,351.40
  6. Step 6: Final answer
    x = 5,104.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.