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Finding the Fourth Proportional to 5,072.40, 6,973.04 and 4,361.64

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Solution

The fourth proportional to 5,072.40, 6,973.04 and 4,361.64 is: 5,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.40 : 6,973.04 = 4,361.64 : x
  2. Step 2: Convert to fraction form
    5,072.40/6,973.04 = 4,361.64/x
  3. Step 3: Cross multiply
    5,072.40x = 6,973.04 × 4,361.64
  4. Step 4: Simplify right side
    5,072.40x = 30,413,868.38
  5. Step 5: Solve for x
    x = 30,413,868.38/5,072.40
  6. Step 6: Final answer
    x = 5,995.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.