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Finding the Fourth Proportional to 5,093.18, 7,032.03 and 3,181.93

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Solution

The fourth proportional to 5,093.18, 7,032.03 and 3,181.93 is: 4,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.18 : 7,032.03 = 3,181.93 : x
  2. Step 2: Convert to fraction form
    5,093.18/7,032.03 = 3,181.93/x
  3. Step 3: Cross multiply
    5,093.18x = 7,032.03 × 3,181.93
  4. Step 4: Simplify right side
    5,093.18x = 22,375,405.72
  5. Step 5: Solve for x
    x = 22,375,405.72/5,093.18
  6. Step 6: Final answer
    x = 4,393.21

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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.