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Finding the Fourth Proportional to 5,673.20, 7,829.32 and 3,316.72

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Solution

The fourth proportional to 5,673.20, 7,829.32 and 3,316.72 is: 4,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.20 : 7,829.32 = 3,316.72 : x
  2. Step 2: Convert to fraction form
    5,673.20/7,829.32 = 3,316.72/x
  3. Step 3: Cross multiply
    5,673.20x = 7,829.32 × 3,316.72
  4. Step 4: Simplify right side
    5,673.20x = 25,967,662.23
  5. Step 5: Solve for x
    x = 25,967,662.23/5,673.20
  6. Step 6: Final answer
    x = 4,577.25

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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.