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Finding the Fourth Proportional to 5,636.57, 7,778.43 and 3,118.82

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Solution

The fourth proportional to 5,636.57, 7,778.43 and 3,118.82 is: 4,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.57 : 7,778.43 = 3,118.82 : x
  2. Step 2: Convert to fraction form
    5,636.57/7,778.43 = 3,118.82/x
  3. Step 3: Cross multiply
    5,636.57x = 7,778.43 × 3,118.82
  4. Step 4: Simplify right side
    5,636.57x = 24,259,484.16
  5. Step 5: Solve for x
    x = 24,259,484.16/5,636.57
  6. Step 6: Final answer
    x = 4,303.95

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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.