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Finding the Fourth Proportional to 5,492, 7,575.60 and 3,922.24

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Solution

The fourth proportional to 5,492, 7,575.60 and 3,922.24 is: 5,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492 : 7,575.60 = 3,922.24 : x
  2. Step 2: Convert to fraction form
    5,492/7,575.60 = 3,922.24/x
  3. Step 3: Cross multiply
    5,492x = 7,575.60 × 3,922.24
  4. Step 4: Simplify right side
    5,492x = 29,713,321.34
  5. Step 5: Solve for x
    x = 29,713,321.34/5,492
  6. Step 6: Final answer
    x = 5,410.29

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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.