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Finding the Fourth Proportional to 6,148.53, 8,485.68 and 3,496.33

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Solution

The fourth proportional to 6,148.53, 8,485.68 and 3,496.33 is: 4,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.53 : 8,485.68 = 3,496.33 : x
  2. Step 2: Convert to fraction form
    6,148.53/8,485.68 = 3,496.33/x
  3. Step 3: Cross multiply
    6,148.53x = 8,485.68 × 3,496.33
  4. Step 4: Simplify right side
    6,148.53x = 29,668,737.55
  5. Step 5: Solve for x
    x = 29,668,737.55/6,148.53
  6. Step 6: Final answer
    x = 4,825.34

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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.