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Finding the Fourth Proportional to 4,665.49, 6,438.21 and 2,776.64

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Solution

The fourth proportional to 4,665.49, 6,438.21 and 2,776.64 is: 3,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.49 : 6,438.21 = 2,776.64 : x
  2. Step 2: Convert to fraction form
    4,665.49/6,438.21 = 2,776.64/x
  3. Step 3: Cross multiply
    4,665.49x = 6,438.21 × 2,776.64
  4. Step 4: Simplify right side
    4,665.49x = 17,876,561.15
  5. Step 5: Solve for x
    x = 17,876,561.15/4,665.49
  6. Step 6: Final answer
    x = 3,831.66

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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.