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Finding the Fourth Proportional to 4,993.84, 6,884.20 and 3,497.04

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Solution

The fourth proportional to 4,993.84, 6,884.20 and 3,497.04 is: 4,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.84 : 6,884.20 = 3,497.04 : x
  2. Step 2: Convert to fraction form
    4,993.84/6,884.20 = 3,497.04/x
  3. Step 3: Cross multiply
    4,993.84x = 6,884.20 × 3,497.04
  4. Step 4: Simplify right side
    4,993.84x = 24,074,322.77
  5. Step 5: Solve for x
    x = 24,074,322.77/4,993.84
  6. Step 6: Final answer
    x = 4,820.80

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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.