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Finding the Fourth Proportional to 4,651.45, 6,973.93 and 1,728.97

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Solution

The fourth proportional to 4,651.45, 6,973.93 and 1,728.97 is: 2,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.45 : 6,973.93 = 1,728.97 : x
  2. Step 2: Convert to fraction form
    4,651.45/6,973.93 = 1,728.97/x
  3. Step 3: Cross multiply
    4,651.45x = 6,973.93 × 1,728.97
  4. Step 4: Simplify right side
    4,651.45x = 12,057,715.75
  5. Step 5: Solve for x
    x = 12,057,715.75/4,651.45
  6. Step 6: Final answer
    x = 2,592.25

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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.