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Finding the Fourth Proportional to 4,802.35, 6,621.27 and 4,006.83

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Solution

The fourth proportional to 4,802.35, 6,621.27 and 4,006.83 is: 5,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.35 : 6,621.27 = 4,006.83 : x
  2. Step 2: Convert to fraction form
    4,802.35/6,621.27 = 4,006.83/x
  3. Step 3: Cross multiply
    4,802.35x = 6,621.27 × 4,006.83
  4. Step 4: Simplify right side
    4,802.35x = 26,530,303.27
  5. Step 5: Solve for x
    x = 26,530,303.27/4,802.35
  6. Step 6: Final answer
    x = 5,524.44

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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.