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Finding the Fourth Proportional to 4,733.68, 7,100.46 and 1,612.84

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Solution

The fourth proportional to 4,733.68, 7,100.46 and 1,612.84 is: 2,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.68 : 7,100.46 = 1,612.84 : x
  2. Step 2: Convert to fraction form
    4,733.68/7,100.46 = 1,612.84/x
  3. Step 3: Cross multiply
    4,733.68x = 7,100.46 × 1,612.84
  4. Step 4: Simplify right side
    4,733.68x = 11,451,905.91
  5. Step 5: Solve for x
    x = 11,451,905.91/4,733.68
  6. Step 6: Final answer
    x = 2,419.24

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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.