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Finding the Fourth Proportional to 3,684.47, 5,077.43 and 2,355.87

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Solution

The fourth proportional to 3,684.47, 5,077.43 and 2,355.87 is: 3,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.47 : 5,077.43 = 2,355.87 : x
  2. Step 2: Convert to fraction form
    3,684.47/5,077.43 = 2,355.87/x
  3. Step 3: Cross multiply
    3,684.47x = 5,077.43 × 2,355.87
  4. Step 4: Simplify right side
    3,684.47x = 11,961,753.23
  5. Step 5: Solve for x
    x = 11,961,753.23/3,684.47
  6. Step 6: Final answer
    x = 3,246.54

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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.