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Finding the Fourth Proportional to 5,213.24, 7,820.09 and 1,703.46

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Solution

The fourth proportional to 5,213.24, 7,820.09 and 1,703.46 is: 2,555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.24 : 7,820.09 = 1,703.46 : x
  2. Step 2: Convert to fraction form
    5,213.24/7,820.09 = 1,703.46/x
  3. Step 3: Cross multiply
    5,213.24x = 7,820.09 × 1,703.46
  4. Step 4: Simplify right side
    5,213.24x = 13,321,186.70
  5. Step 5: Solve for x
    x = 13,321,186.70/5,213.24
  6. Step 6: Final answer
    x = 2,555.26

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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.