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Finding the Fourth Proportional to 6,349.35, 8,762.65 and 3,697.59

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Solution

The fourth proportional to 6,349.35, 8,762.65 and 3,697.59 is: 5,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.35 : 8,762.65 = 3,697.59 : x
  2. Step 2: Convert to fraction form
    6,349.35/8,762.65 = 3,697.59/x
  3. Step 3: Cross multiply
    6,349.35x = 8,762.65 × 3,697.59
  4. Step 4: Simplify right side
    6,349.35x = 32,400,668.53
  5. Step 5: Solve for x
    x = 32,400,668.53/6,349.35
  6. Step 6: Final answer
    x = 5,102.99

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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.