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Finding the Fourth Proportional to 5,771.36, 7,964.63 and 3,533.20

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Solution

The fourth proportional to 5,771.36, 7,964.63 and 3,533.20 is: 4,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.36 : 7,964.63 = 3,533.20 : x
  2. Step 2: Convert to fraction form
    5,771.36/7,964.63 = 3,533.20/x
  3. Step 3: Cross multiply
    5,771.36x = 7,964.63 × 3,533.20
  4. Step 4: Simplify right side
    5,771.36x = 28,140,630.72
  5. Step 5: Solve for x
    x = 28,140,630.72/5,771.36
  6. Step 6: Final answer
    x = 4,875.91

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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.