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Finding the Fourth Proportional to 3,609.52, 5,411.04 and 1,419.82

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Solution

The fourth proportional to 3,609.52, 5,411.04 and 1,419.82 is: 2,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.52 : 5,411.04 = 1,419.82 : x
  2. Step 2: Convert to fraction form
    3,609.52/5,411.04 = 1,419.82/x
  3. Step 3: Cross multiply
    3,609.52x = 5,411.04 × 1,419.82
  4. Step 4: Simplify right side
    3,609.52x = 7,682,702.81
  5. Step 5: Solve for x
    x = 7,682,702.81/3,609.52
  6. Step 6: Final answer
    x = 2,128.46

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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.