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Finding the Fourth Proportional to 4,571.64, 6,304.18 and 2,978.37

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Solution

The fourth proportional to 4,571.64, 6,304.18 and 2,978.37 is: 4,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.64 : 6,304.18 = 2,978.37 : x
  2. Step 2: Convert to fraction form
    4,571.64/6,304.18 = 2,978.37/x
  3. Step 3: Cross multiply
    4,571.64x = 6,304.18 × 2,978.37
  4. Step 4: Simplify right side
    4,571.64x = 18,776,180.59
  5. Step 5: Solve for x
    x = 18,776,180.59/4,571.64
  6. Step 6: Final answer
    x = 4,107.10

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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.