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Finding the Fourth Proportional to 5,780.36, 7,978.92 and 3,684.08

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Solution

The fourth proportional to 5,780.36, 7,978.92 and 3,684.08 is: 5,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.36 : 7,978.92 = 3,684.08 : x
  2. Step 2: Convert to fraction form
    5,780.36/7,978.92 = 3,684.08/x
  3. Step 3: Cross multiply
    5,780.36x = 7,978.92 × 3,684.08
  4. Step 4: Simplify right side
    5,780.36x = 29,394,979.59
  5. Step 5: Solve for x
    x = 29,394,979.59/5,780.36
  6. Step 6: Final answer
    x = 5,085.32

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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.