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Finding the Fourth Proportional to 3,380.42, 5,070.46 and 1,300.02

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Solution

The fourth proportional to 3,380.42, 5,070.46 and 1,300.02 is: 1,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.42 : 5,070.46 = 1,300.02 : x
  2. Step 2: Convert to fraction form
    3,380.42/5,070.46 = 1,300.02/x
  3. Step 3: Cross multiply
    3,380.42x = 5,070.46 × 1,300.02
  4. Step 4: Simplify right side
    3,380.42x = 6,591,699.41
  5. Step 5: Solve for x
    x = 6,591,699.41/3,380.42
  6. Step 6: Final answer
    x = 1,949.96

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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.