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Finding the Fourth Proportional to 5,630.72, 7,769.32 and 3,533.90

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Solution

The fourth proportional to 5,630.72, 7,769.32 and 3,533.90 is: 4,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.72 : 7,769.32 = 3,533.90 : x
  2. Step 2: Convert to fraction form
    5,630.72/7,769.32 = 3,533.90/x
  3. Step 3: Cross multiply
    5,630.72x = 7,769.32 × 3,533.90
  4. Step 4: Simplify right side
    5,630.72x = 27,455,952.27
  5. Step 5: Solve for x
    x = 27,455,952.27/5,630.72
  6. Step 6: Final answer
    x = 4,876.10

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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.