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Finding the Fourth Proportional to 4,973.94, 7,464.29 and 2,052.23

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Solution

The fourth proportional to 4,973.94, 7,464.29 and 2,052.23 is: 3,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.94 : 7,464.29 = 2,052.23 : x
  2. Step 2: Convert to fraction form
    4,973.94/7,464.29 = 2,052.23/x
  3. Step 3: Cross multiply
    4,973.94x = 7,464.29 × 2,052.23
  4. Step 4: Simplify right side
    4,973.94x = 15,318,392.28
  5. Step 5: Solve for x
    x = 15,318,392.28/4,973.94
  6. Step 6: Final answer
    x = 3,079.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.