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Finding the Fourth Proportional to 3,522.29, 5,278.91 and 1,328.40

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Solution

The fourth proportional to 3,522.29, 5,278.91 and 1,328.40 is: 1,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.29 : 5,278.91 = 1,328.40 : x
  2. Step 2: Convert to fraction form
    3,522.29/5,278.91 = 1,328.40/x
  3. Step 3: Cross multiply
    3,522.29x = 5,278.91 × 1,328.40
  4. Step 4: Simplify right side
    3,522.29x = 7,012,497.40
  5. Step 5: Solve for x
    x = 7,012,497.40/3,522.29
  6. Step 6: Final answer
    x = 1,990.89

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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.