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Finding the Fourth Proportional to 3,435.67, 5,154.99 and 1,357.19

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Solution

The fourth proportional to 3,435.67, 5,154.99 and 1,357.19 is: 2,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.67 : 5,154.99 = 1,357.19 : x
  2. Step 2: Convert to fraction form
    3,435.67/5,154.99 = 1,357.19/x
  3. Step 3: Cross multiply
    3,435.67x = 5,154.99 × 1,357.19
  4. Step 4: Simplify right side
    3,435.67x = 6,996,296.98
  5. Step 5: Solve for x
    x = 6,996,296.98/3,435.67
  6. Step 6: Final answer
    x = 2,036.37

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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.