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Finding the Fourth Proportional to 3,580.30, 5,370.09 and 983.62

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Solution

The fourth proportional to 3,580.30, 5,370.09 and 983.62 is: 1,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.30 : 5,370.09 = 983.62 : x
  2. Step 2: Convert to fraction form
    3,580.30/5,370.09 = 983.62/x
  3. Step 3: Cross multiply
    3,580.30x = 5,370.09 × 983.62
  4. Step 4: Simplify right side
    3,580.30x = 5,282,127.93
  5. Step 5: Solve for x
    x = 5,282,127.93/3,580.30
  6. Step 6: Final answer
    x = 1,475.33

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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.