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Finding the Fourth Proportional to 3,428.90, 5,143.35 and 2,564.90

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Solution

The fourth proportional to 3,428.90, 5,143.35 and 2,564.90 is: 3,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.90 : 5,143.35 = 2,564.90 : x
  2. Step 2: Convert to fraction form
    3,428.90/5,143.35 = 2,564.90/x
  3. Step 3: Cross multiply
    3,428.90x = 5,143.35 × 2,564.90
  4. Step 4: Simplify right side
    3,428.90x = 13,192,178.42
  5. Step 5: Solve for x
    x = 13,192,178.42/3,428.90
  6. Step 6: Final answer
    x = 3,847.35

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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.