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Finding the Fourth Proportional to 4,629.64, 6,943.18 and 2,162.04

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Solution

The fourth proportional to 4,629.64, 6,943.18 and 2,162.04 is: 3,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.64 : 6,943.18 = 2,162.04 : x
  2. Step 2: Convert to fraction form
    4,629.64/6,943.18 = 2,162.04/x
  3. Step 3: Cross multiply
    4,629.64x = 6,943.18 × 2,162.04
  4. Step 4: Simplify right side
    4,629.64x = 15,011,432.89
  5. Step 5: Solve for x
    x = 15,011,432.89/4,629.64
  6. Step 6: Final answer
    x = 3,242.46

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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.