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Finding the Fourth Proportional to 5,181.54, 7,152.42 and 3,506.66

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Solution

The fourth proportional to 5,181.54, 7,152.42 and 3,506.66 is: 4,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.54 : 7,152.42 = 3,506.66 : x
  2. Step 2: Convert to fraction form
    5,181.54/7,152.42 = 3,506.66/x
  3. Step 3: Cross multiply
    5,181.54x = 7,152.42 × 3,506.66
  4. Step 4: Simplify right side
    5,181.54x = 25,081,105.12
  5. Step 5: Solve for x
    x = 25,081,105.12/5,181.54
  6. Step 6: Final answer
    x = 4,840.47

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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.