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Finding the Fourth Proportional to 3,419.49, 5,130.49 and 1,445.64

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Solution

The fourth proportional to 3,419.49, 5,130.49 and 1,445.64 is: 2,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.49 : 5,130.49 = 1,445.64 : x
  2. Step 2: Convert to fraction form
    3,419.49/5,130.49 = 1,445.64/x
  3. Step 3: Cross multiply
    3,419.49x = 5,130.49 × 1,445.64
  4. Step 4: Simplify right side
    3,419.49x = 7,416,841.56
  5. Step 5: Solve for x
    x = 7,416,841.56/3,419.49
  6. Step 6: Final answer
    x = 2,168.99

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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.