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Finding the Fourth Proportional to 3,445.96, 5,174.70 and 3,419.08

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Solution

The fourth proportional to 3,445.96, 5,174.70 and 3,419.08 is: 5,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.96 : 5,174.70 = 3,419.08 : x
  2. Step 2: Convert to fraction form
    3,445.96/5,174.70 = 3,419.08/x
  3. Step 3: Cross multiply
    3,445.96x = 5,174.70 × 3,419.08
  4. Step 4: Simplify right side
    3,445.96x = 17,692,713.28
  5. Step 5: Solve for x
    x = 17,692,713.28/3,445.96
  6. Step 6: Final answer
    x = 5,134.34

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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.