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Finding the Fourth Proportional to 5,187.46, 7,782.31 and 1,677.69

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Solution

The fourth proportional to 5,187.46, 7,782.31 and 1,677.69 is: 2,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.46 : 7,782.31 = 1,677.69 : x
  2. Step 2: Convert to fraction form
    5,187.46/7,782.31 = 1,677.69/x
  3. Step 3: Cross multiply
    5,187.46x = 7,782.31 × 1,677.69
  4. Step 4: Simplify right side
    5,187.46x = 13,056,303.66
  5. Step 5: Solve for x
    x = 13,056,303.66/5,187.46
  6. Step 6: Final answer
    x = 2,516.90

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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.