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Finding the Fourth Proportional to 4,640.94, 6,406.83 and 3,026.58

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Solution

The fourth proportional to 4,640.94, 6,406.83 and 3,026.58 is: 4,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.94 : 6,406.83 = 3,026.58 : x
  2. Step 2: Convert to fraction form
    4,640.94/6,406.83 = 3,026.58/x
  3. Step 3: Cross multiply
    4,640.94x = 6,406.83 × 3,026.58
  4. Step 4: Simplify right side
    4,640.94x = 19,390,783.54
  5. Step 5: Solve for x
    x = 19,390,783.54/4,640.94
  6. Step 6: Final answer
    x = 4,178.20

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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.