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Finding the Fourth Proportional to 5,234.96, 7,852.64 and 1,677.80

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Solution

The fourth proportional to 5,234.96, 7,852.64 and 1,677.80 is: 2,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.96 : 7,852.64 = 1,677.80 : x
  2. Step 2: Convert to fraction form
    5,234.96/7,852.64 = 1,677.80/x
  3. Step 3: Cross multiply
    5,234.96x = 7,852.64 × 1,677.80
  4. Step 4: Simplify right side
    5,234.96x = 13,175,159.39
  5. Step 5: Solve for x
    x = 13,175,159.39/5,234.96
  6. Step 6: Final answer
    x = 2,516.76

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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.