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Finding the Fourth Proportional to 3,392.04, 5,086.98 and 1,083

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Solution

The fourth proportional to 3,392.04, 5,086.98 and 1,083 is: 1,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.04 : 5,086.98 = 1,083 : x
  2. Step 2: Convert to fraction form
    3,392.04/5,086.98 = 1,083/x
  3. Step 3: Cross multiply
    3,392.04x = 5,086.98 × 1,083
  4. Step 4: Simplify right side
    3,392.04x = 5,509,199.34
  5. Step 5: Solve for x
    x = 5,509,199.34/3,392.04
  6. Step 6: Final answer
    x = 1,624.16

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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.