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Finding the Fourth Proportional to 3,580.28, 5,370.42 and 983.42

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Solution

The fourth proportional to 3,580.28, 5,370.42 and 983.42 is: 1,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.28 : 5,370.42 = 983.42 : x
  2. Step 2: Convert to fraction form
    3,580.28/5,370.42 = 983.42/x
  3. Step 3: Cross multiply
    3,580.28x = 5,370.42 × 983.42
  4. Step 4: Simplify right side
    3,580.28x = 5,281,378.44
  5. Step 5: Solve for x
    x = 5,281,378.44/3,580.28
  6. Step 6: Final answer
    x = 1,475.13

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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.