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Finding the Fourth Proportional to 5,636.77, 7,778.60 and 3,119.02

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Solution

The fourth proportional to 5,636.77, 7,778.60 and 3,119.02 is: 4,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.77 : 7,778.60 = 3,119.02 : x
  2. Step 2: Convert to fraction form
    5,636.77/7,778.60 = 3,119.02/x
  3. Step 3: Cross multiply
    5,636.77x = 7,778.60 × 3,119.02
  4. Step 4: Simplify right side
    5,636.77x = 24,261,573.93
  5. Step 5: Solve for x
    x = 24,261,573.93/5,636.77
  6. Step 6: Final answer
    x = 4,304.16

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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.