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Finding the Fourth Proportional to 5,173.54, 7,760.45 and 1,663.90

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Solution

The fourth proportional to 5,173.54, 7,760.45 and 1,663.90 is: 2,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.54 : 7,760.45 = 1,663.90 : x
  2. Step 2: Convert to fraction form
    5,173.54/7,760.45 = 1,663.90/x
  3. Step 3: Cross multiply
    5,173.54x = 7,760.45 × 1,663.90
  4. Step 4: Simplify right side
    5,173.54x = 12,912,565.63
  5. Step 5: Solve for x
    x = 12,912,565.63/5,173.54
  6. Step 6: Final answer
    x = 2,495.89

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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.