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Finding the Fourth Proportional to 4,645.64, 6,972.12 and 1,724.84

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Solution

The fourth proportional to 4,645.64, 6,972.12 and 1,724.84 is: 2,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.64 : 6,972.12 = 1,724.84 : x
  2. Step 2: Convert to fraction form
    4,645.64/6,972.12 = 1,724.84/x
  3. Step 3: Cross multiply
    4,645.64x = 6,972.12 × 1,724.84
  4. Step 4: Simplify right side
    4,645.64x = 12,025,791.46
  5. Step 5: Solve for x
    x = 12,025,791.46/4,645.64
  6. Step 6: Final answer
    x = 2,588.62

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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.