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Finding the Fourth Proportional to 4,991.39, 6,838.20 and 4,804.46

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Solution

The fourth proportional to 4,991.39, 6,838.20 and 4,804.46 is: 6,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.39 : 6,838.20 = 4,804.46 : x
  2. Step 2: Convert to fraction form
    4,991.39/6,838.20 = 4,804.46/x
  3. Step 3: Cross multiply
    4,991.39x = 6,838.20 × 4,804.46
  4. Step 4: Simplify right side
    4,991.39x = 32,853,834.35
  5. Step 5: Solve for x
    x = 32,853,834.35/4,991.39
  6. Step 6: Final answer
    x = 6,582.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.