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Finding the Fourth Proportional to 3,699.45, 5,076.82 and 3,490.77

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Solution

The fourth proportional to 3,699.45, 5,076.82 and 3,490.77 is: 4,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.45 : 5,076.82 = 3,490.77 : x
  2. Step 2: Convert to fraction form
    3,699.45/5,076.82 = 3,490.77/x
  3. Step 3: Cross multiply
    3,699.45x = 5,076.82 × 3,490.77
  4. Step 4: Simplify right side
    3,699.45x = 17,721,968.11
  5. Step 5: Solve for x
    x = 17,721,968.11/3,699.45
  6. Step 6: Final answer
    x = 4,790.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.