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Finding the Fourth Proportional to 3,484.71, 4,811.18 and 2,160.36

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Solution

The fourth proportional to 3,484.71, 4,811.18 and 2,160.36 is: 2,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.71 : 4,811.18 = 2,160.36 : x
  2. Step 2: Convert to fraction form
    3,484.71/4,811.18 = 2,160.36/x
  3. Step 3: Cross multiply
    3,484.71x = 4,811.18 × 2,160.36
  4. Step 4: Simplify right side
    3,484.71x = 10,393,870.02
  5. Step 5: Solve for x
    x = 10,393,870.02/3,484.71
  6. Step 6: Final answer
    x = 2,982.71

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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.