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Finding the Fourth Proportional to 5,646.58, 7,792.74 and 3,128.94

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Solution

The fourth proportional to 5,646.58, 7,792.74 and 3,128.94 is: 4,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.58 : 7,792.74 = 3,128.94 : x
  2. Step 2: Convert to fraction form
    5,646.58/7,792.74 = 3,128.94/x
  3. Step 3: Cross multiply
    5,646.58x = 7,792.74 × 3,128.94
  4. Step 4: Simplify right side
    5,646.58x = 24,383,015.90
  5. Step 5: Solve for x
    x = 24,383,015.90/5,646.58
  6. Step 6: Final answer
    x = 4,318.19

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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.