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Finding the Fourth Proportional to 5,200.36, 7,835.64 and 4,296.18

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Solution

The fourth proportional to 5,200.36, 7,835.64 and 4,296.18 is: 6,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.36 : 7,835.64 = 4,296.18 : x
  2. Step 2: Convert to fraction form
    5,200.36/7,835.64 = 4,296.18/x
  3. Step 3: Cross multiply
    5,200.36x = 7,835.64 × 4,296.18
  4. Step 4: Simplify right side
    5,200.36x = 33,663,319.86
  5. Step 5: Solve for x
    x = 33,663,319.86/5,200.36
  6. Step 6: Final answer
    x = 6,473.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.