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Finding the Fourth Proportional to 3,894.48, 5,841.52 and 1,262.12

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Solution

The fourth proportional to 3,894.48, 5,841.52 and 1,262.12 is: 1,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.48 : 5,841.52 = 1,262.12 : x
  2. Step 2: Convert to fraction form
    3,894.48/5,841.52 = 1,262.12/x
  3. Step 3: Cross multiply
    3,894.48x = 5,841.52 × 1,262.12
  4. Step 4: Simplify right side
    3,894.48x = 7,372,666.86
  5. Step 5: Solve for x
    x = 7,372,666.86/3,894.48
  6. Step 6: Final answer
    x = 1,893.11

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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.