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Finding the Fourth Proportional to 4,838.21, 7,199.37 and 4,821.81

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Solution

The fourth proportional to 4,838.21, 7,199.37 and 4,821.81 is: 7,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.21 : 7,199.37 = 4,821.81 : x
  2. Step 2: Convert to fraction form
    4,838.21/7,199.37 = 4,821.81/x
  3. Step 3: Cross multiply
    4,838.21x = 7,199.37 × 4,821.81
  4. Step 4: Simplify right side
    4,838.21x = 34,713,994.26
  5. Step 5: Solve for x
    x = 34,713,994.26/4,838.21
  6. Step 6: Final answer
    x = 7,174.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.