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Finding the Fourth Proportional to 3,476.37, 5,214.75 and 1,699.08

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Solution

The fourth proportional to 3,476.37, 5,214.75 and 1,699.08 is: 2,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.37 : 5,214.75 = 1,699.08 : x
  2. Step 2: Convert to fraction form
    3,476.37/5,214.75 = 1,699.08/x
  3. Step 3: Cross multiply
    3,476.37x = 5,214.75 × 1,699.08
  4. Step 4: Simplify right side
    3,476.37x = 8,860,265.84
  5. Step 5: Solve for x
    x = 8,860,265.84/3,476.37
  6. Step 6: Final answer
    x = 2,548.71

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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.