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Finding the Fourth Proportional to 5,663.10, 8,477.85 and 4,208.70

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Solution

The fourth proportional to 5,663.10, 8,477.85 and 4,208.70 is: 6,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.10 : 8,477.85 = 4,208.70 : x
  2. Step 2: Convert to fraction form
    5,663.10/8,477.85 = 4,208.70/x
  3. Step 3: Cross multiply
    5,663.10x = 8,477.85 × 4,208.70
  4. Step 4: Simplify right side
    5,663.10x = 35,680,727.30
  5. Step 5: Solve for x
    x = 35,680,727.30/5,663.10
  6. Step 6: Final answer
    x = 6,300.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.