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Finding the Fourth Proportional to 5,419.64, 8,142.46 and 3,475.64

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Solution

The fourth proportional to 5,419.64, 8,142.46 and 3,475.64 is: 5,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.64 : 8,142.46 = 3,475.64 : x
  2. Step 2: Convert to fraction form
    5,419.64/8,142.46 = 3,475.64/x
  3. Step 3: Cross multiply
    5,419.64x = 8,142.46 × 3,475.64
  4. Step 4: Simplify right side
    5,419.64x = 28,300,259.67
  5. Step 5: Solve for x
    x = 28,300,259.67/5,419.64
  6. Step 6: Final answer
    x = 5,221.80

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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.