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Finding the Fourth Proportional to 5,145.27, 7,715.63 and 1,858.39

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Solution

The fourth proportional to 5,145.27, 7,715.63 and 1,858.39 is: 2,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.27 : 7,715.63 = 1,858.39 : x
  2. Step 2: Convert to fraction form
    5,145.27/7,715.63 = 1,858.39/x
  3. Step 3: Cross multiply
    5,145.27x = 7,715.63 × 1,858.39
  4. Step 4: Simplify right side
    5,145.27x = 14,338,640.34
  5. Step 5: Solve for x
    x = 14,338,640.34/5,145.27
  6. Step 6: Final answer
    x = 2,786.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.