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Finding the Fourth Proportional to 4,705.68, 7,059.46 and 1,418.64

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Solution

The fourth proportional to 4,705.68, 7,059.46 and 1,418.64 is: 2,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.68 : 7,059.46 = 1,418.64 : x
  2. Step 2: Convert to fraction form
    4,705.68/7,059.46 = 1,418.64/x
  3. Step 3: Cross multiply
    4,705.68x = 7,059.46 × 1,418.64
  4. Step 4: Simplify right side
    4,705.68x = 10,014,832.33
  5. Step 5: Solve for x
    x = 10,014,832.33/4,705.68
  6. Step 6: Final answer
    x = 2,128.24

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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.