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Finding the Fourth Proportional to 5,262.32, 7,261.11 and 3,024.30

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Solution

The fourth proportional to 5,262.32, 7,261.11 and 3,024.30 is: 4,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.32 : 7,261.11 = 3,024.30 : x
  2. Step 2: Convert to fraction form
    5,262.32/7,261.11 = 3,024.30/x
  3. Step 3: Cross multiply
    5,262.32x = 7,261.11 × 3,024.30
  4. Step 4: Simplify right side
    5,262.32x = 21,959,774.97
  5. Step 5: Solve for x
    x = 21,959,774.97/5,262.32
  6. Step 6: Final answer
    x = 4,173.02

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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.