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Finding the Fourth Proportional to 5,648.40, 7,792.04 and 3,289.68

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Solution

The fourth proportional to 5,648.40, 7,792.04 and 3,289.68 is: 4,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.40 : 7,792.04 = 3,289.68 : x
  2. Step 2: Convert to fraction form
    5,648.40/7,792.04 = 3,289.68/x
  3. Step 3: Cross multiply
    5,648.40x = 7,792.04 × 3,289.68
  4. Step 4: Simplify right side
    5,648.40x = 25,633,318.15
  5. Step 5: Solve for x
    x = 25,633,318.15/5,648.40
  6. Step 6: Final answer
    x = 4,538.16

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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.