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Finding the Fourth Proportional to 3,589.40, 5,386.62 and 3,283.40

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Solution

The fourth proportional to 3,589.40, 5,386.62 and 3,283.40 is: 4,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.40 : 5,386.62 = 3,283.40 : x
  2. Step 2: Convert to fraction form
    3,589.40/5,386.62 = 3,283.40/x
  3. Step 3: Cross multiply
    3,589.40x = 5,386.62 × 3,283.40
  4. Step 4: Simplify right side
    3,589.40x = 17,686,428.11
  5. Step 5: Solve for x
    x = 17,686,428.11/3,589.40
  6. Step 6: Final answer
    x = 4,927.41

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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.