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Finding the Fourth Proportional to 5,646.48, 7,792.87 and 3,409.62

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Solution

The fourth proportional to 5,646.48, 7,792.87 and 3,409.62 is: 4,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.48 : 7,792.87 = 3,409.62 : x
  2. Step 2: Convert to fraction form
    5,646.48/7,792.87 = 3,409.62/x
  3. Step 3: Cross multiply
    5,646.48x = 7,792.87 × 3,409.62
  4. Step 4: Simplify right side
    5,646.48x = 26,570,725.41
  5. Step 5: Solve for x
    x = 26,570,725.41/5,646.48
  6. Step 6: Final answer
    x = 4,705.71

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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.