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Finding the Fourth Proportional to 3,969.45, 5,954.78 and 1,047.98

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Solution

The fourth proportional to 3,969.45, 5,954.78 and 1,047.98 is: 1,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.45 : 5,954.78 = 1,047.98 : x
  2. Step 2: Convert to fraction form
    3,969.45/5,954.78 = 1,047.98/x
  3. Step 3: Cross multiply
    3,969.45x = 5,954.78 × 1,047.98
  4. Step 4: Simplify right side
    3,969.45x = 6,240,490.34
  5. Step 5: Solve for x
    x = 6,240,490.34/3,969.45
  6. Step 6: Final answer
    x = 1,572.13

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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.