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Finding the Fourth Proportional to 3,852.16, 5,316 and 3,617.20

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Solution

The fourth proportional to 3,852.16, 5,316 and 3,617.20 is: 4,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.16 : 5,316 = 3,617.20 : x
  2. Step 2: Convert to fraction form
    3,852.16/5,316 = 3,617.20/x
  3. Step 3: Cross multiply
    3,852.16x = 5,316 × 3,617.20
  4. Step 4: Simplify right side
    3,852.16x = 19,229,035.20
  5. Step 5: Solve for x
    x = 19,229,035.20/3,852.16
  6. Step 6: Final answer
    x = 4,991.75

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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.