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Finding the Fourth Proportional to 5,342.16, 8,013.24 and 2,262

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Solution

The fourth proportional to 5,342.16, 8,013.24 and 2,262 is: 3,393

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.16 : 8,013.24 = 2,262 : x
  2. Step 2: Convert to fraction form
    5,342.16/8,013.24 = 2,262/x
  3. Step 3: Cross multiply
    5,342.16x = 8,013.24 × 2,262
  4. Step 4: Simplify right side
    5,342.16x = 18,125,948.88
  5. Step 5: Solve for x
    x = 18,125,948.88/5,342.16
  6. Step 6: Final answer
    x = 3,393

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.