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Finding the Fourth Proportional to 4,061.45, 6,092.16 and 983.45

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Solution

The fourth proportional to 4,061.45, 6,092.16 and 983.45 is: 1,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.45 : 6,092.16 = 983.45 : x
  2. Step 2: Convert to fraction form
    4,061.45/6,092.16 = 983.45/x
  3. Step 3: Cross multiply
    4,061.45x = 6,092.16 × 983.45
  4. Step 4: Simplify right side
    4,061.45x = 5,991,304.29
  5. Step 5: Solve for x
    x = 5,991,304.29/4,061.45
  6. Step 6: Final answer
    x = 1,475.17

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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.