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Finding the Fourth Proportional to 4,534.54, 6,801.90 and 1,612.86

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Solution

The fourth proportional to 4,534.54, 6,801.90 and 1,612.86 is: 2,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.54 : 6,801.90 = 1,612.86 : x
  2. Step 2: Convert to fraction form
    4,534.54/6,801.90 = 1,612.86/x
  3. Step 3: Cross multiply
    4,534.54x = 6,801.90 × 1,612.86
  4. Step 4: Simplify right side
    4,534.54x = 10,970,512.43
  5. Step 5: Solve for x
    x = 10,970,512.43/4,534.54
  6. Step 6: Final answer
    x = 2,419.32

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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.