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Finding the Fourth Proportional to 5,945.60, 8,200.16 and 3,703.20

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Solution

The fourth proportional to 5,945.60, 8,200.16 and 3,703.20 is: 5,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.60 : 8,200.16 = 3,703.20 : x
  2. Step 2: Convert to fraction form
    5,945.60/8,200.16 = 3,703.20/x
  3. Step 3: Cross multiply
    5,945.60x = 8,200.16 × 3,703.20
  4. Step 4: Simplify right side
    5,945.60x = 30,366,832.51
  5. Step 5: Solve for x
    x = 30,366,832.51/5,945.60
  6. Step 6: Final answer
    x = 5,107.45

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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.