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Finding the Fourth Proportional to 5,636.30, 7,778.64 and 3,119.00

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Solution

The fourth proportional to 5,636.30, 7,778.64 and 3,119.00 is: 4,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.30 : 7,778.64 = 3,119.00 : x
  2. Step 2: Convert to fraction form
    5,636.30/7,778.64 = 3,119.00/x
  3. Step 3: Cross multiply
    5,636.30x = 7,778.64 × 3,119.00
  4. Step 4: Simplify right side
    5,636.30x = 24,261,539.27
  5. Step 5: Solve for x
    x = 24,261,539.27/5,636.30
  6. Step 6: Final answer
    x = 4,304.52

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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.