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Finding the Fourth Proportional to 5,744.40, 7,927.28 and 3,386.56

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Solution

The fourth proportional to 5,744.40, 7,927.28 and 3,386.56 is: 4,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.40 : 7,927.28 = 3,386.56 : x
  2. Step 2: Convert to fraction form
    5,744.40/7,927.28 = 3,386.56/x
  3. Step 3: Cross multiply
    5,744.40x = 7,927.28 × 3,386.56
  4. Step 4: Simplify right side
    5,744.40x = 26,846,209.36
  5. Step 5: Solve for x
    x = 26,846,209.36/5,744.40
  6. Step 6: Final answer
    x = 4,673.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.