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Finding the Fourth Proportional to 3,684.36, 5,520.78 and 3,134.28

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Solution

The fourth proportional to 3,684.36, 5,520.78 and 3,134.28 is: 4,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.36 : 5,520.78 = 3,134.28 : x
  2. Step 2: Convert to fraction form
    3,684.36/5,520.78 = 3,134.28/x
  3. Step 3: Cross multiply
    3,684.36x = 5,520.78 × 3,134.28
  4. Step 4: Simplify right side
    3,684.36x = 17,303,670.34
  5. Step 5: Solve for x
    x = 17,303,670.34/3,684.36
  6. Step 6: Final answer
    x = 4,696.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.