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Finding the Fourth Proportional to 5,744.60, 7,928.28 and 3,386.96

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Solution

The fourth proportional to 5,744.60, 7,928.28 and 3,386.96 is: 4,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.60 : 7,928.28 = 3,386.96 : x
  2. Step 2: Convert to fraction form
    5,744.60/7,928.28 = 3,386.96/x
  3. Step 3: Cross multiply
    5,744.60x = 7,928.28 × 3,386.96
  4. Step 4: Simplify right side
    5,744.60x = 26,852,767.23
  5. Step 5: Solve for x
    x = 26,852,767.23/5,744.60
  6. Step 6: Final answer
    x = 4,674.44

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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.