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Finding the Fourth Proportional to 6,349.46, 8,762.28 and 3,698.69

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Solution

The fourth proportional to 6,349.46, 8,762.28 and 3,698.69 is: 5,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.46 : 8,762.28 = 3,698.69 : x
  2. Step 2: Convert to fraction form
    6,349.46/8,762.28 = 3,698.69/x
  3. Step 3: Cross multiply
    6,349.46x = 8,762.28 × 3,698.69
  4. Step 4: Simplify right side
    6,349.46x = 32,408,957.41
  5. Step 5: Solve for x
    x = 32,408,957.41/6,349.46
  6. Step 6: Final answer
    x = 5,104.21

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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.