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Finding the Fourth Proportional to 4,291.63, 6,463.18 and 3,777.25

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Solution

The fourth proportional to 4,291.63, 6,463.18 and 3,777.25 is: 5,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.63 : 6,463.18 = 3,777.25 : x
  2. Step 2: Convert to fraction form
    4,291.63/6,463.18 = 3,777.25/x
  3. Step 3: Cross multiply
    4,291.63x = 6,463.18 × 3,777.25
  4. Step 4: Simplify right side
    4,291.63x = 24,413,046.66
  5. Step 5: Solve for x
    x = 24,413,046.66/4,291.63
  6. Step 6: Final answer
    x = 5,688.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.