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Finding the Fourth Proportional to 5,166.20, 7,748.54 and 1,703

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Solution

The fourth proportional to 5,166.20, 7,748.54 and 1,703 is: 2,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.20 : 7,748.54 = 1,703 : x
  2. Step 2: Convert to fraction form
    5,166.20/7,748.54 = 1,703/x
  3. Step 3: Cross multiply
    5,166.20x = 7,748.54 × 1,703
  4. Step 4: Simplify right side
    5,166.20x = 13,195,763.62
  5. Step 5: Solve for x
    x = 13,195,763.62/5,166.20
  6. Step 6: Final answer
    x = 2,554.25

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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.