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Finding the Fourth Proportional to 5,123.81, 7,069.90 and 2,884.87

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Solution

The fourth proportional to 5,123.81, 7,069.90 and 2,884.87 is: 3,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.81 : 7,069.90 = 2,884.87 : x
  2. Step 2: Convert to fraction form
    5,123.81/7,069.90 = 2,884.87/x
  3. Step 3: Cross multiply
    5,123.81x = 7,069.90 × 2,884.87
  4. Step 4: Simplify right side
    5,123.81x = 20,395,742.41
  5. Step 5: Solve for x
    x = 20,395,742.41/5,123.81
  6. Step 6: Final answer
    x = 3,980.58

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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.