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Finding the Fourth Proportional to 3,419.67, 5,133.19 and 1,572.27

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Solution

The fourth proportional to 3,419.67, 5,133.19 and 1,572.27 is: 2,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.67 : 5,133.19 = 1,572.27 : x
  2. Step 2: Convert to fraction form
    3,419.67/5,133.19 = 1,572.27/x
  3. Step 3: Cross multiply
    3,419.67x = 5,133.19 × 1,572.27
  4. Step 4: Simplify right side
    3,419.67x = 8,070,760.64
  5. Step 5: Solve for x
    x = 8,070,760.64/3,419.67
  6. Step 6: Final answer
    x = 2,360.10

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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.