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Finding the Fourth Proportional to 5,419.82, 7,478.34 and 3,428.98

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Solution

The fourth proportional to 5,419.82, 7,478.34 and 3,428.98 is: 4,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.82 : 7,478.34 = 3,428.98 : x
  2. Step 2: Convert to fraction form
    5,419.82/7,478.34 = 3,428.98/x
  3. Step 3: Cross multiply
    5,419.82x = 7,478.34 × 3,428.98
  4. Step 4: Simplify right side
    5,419.82x = 25,643,078.29
  5. Step 5: Solve for x
    x = 25,643,078.29/5,419.82
  6. Step 6: Final answer
    x = 4,731.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.