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Finding the Fourth Proportional to 5,712.88, 7,884.48 and 3,355.60

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Solution

The fourth proportional to 5,712.88, 7,884.48 and 3,355.60 is: 4,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.88 : 7,884.48 = 3,355.60 : x
  2. Step 2: Convert to fraction form
    5,712.88/7,884.48 = 3,355.60/x
  3. Step 3: Cross multiply
    5,712.88x = 7,884.48 × 3,355.60
  4. Step 4: Simplify right side
    5,712.88x = 26,457,161.09
  5. Step 5: Solve for x
    x = 26,457,161.09/5,712.88
  6. Step 6: Final answer
    x = 4,631.14

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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.