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Finding the Fourth Proportional to 5,234.24, 7,852.44 and 1,771.04

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Solution

The fourth proportional to 5,234.24, 7,852.44 and 1,771.04 is: 2,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.24 : 7,852.44 = 1,771.04 : x
  2. Step 2: Convert to fraction form
    5,234.24/7,852.44 = 1,771.04/x
  3. Step 3: Cross multiply
    5,234.24x = 7,852.44 × 1,771.04
  4. Step 4: Simplify right side
    5,234.24x = 13,906,985.34
  5. Step 5: Solve for x
    x = 13,906,985.34/5,234.24
  6. Step 6: Final answer
    x = 2,656.93

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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.