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Finding the Fourth Proportional to 5,442.35, 7,514.05 and 4,181.15

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Solution

The fourth proportional to 5,442.35, 7,514.05 and 4,181.15 is: 5,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.35 : 7,514.05 = 4,181.15 : x
  2. Step 2: Convert to fraction form
    5,442.35/7,514.05 = 4,181.15/x
  3. Step 3: Cross multiply
    5,442.35x = 7,514.05 × 4,181.15
  4. Step 4: Simplify right side
    5,442.35x = 31,417,370.16
  5. Step 5: Solve for x
    x = 31,417,370.16/5,442.35
  6. Step 6: Final answer
    x = 5,772.76

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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.