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Finding the Fourth Proportional to 5,644.23, 7,789.62 and 3,254.93

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Solution

The fourth proportional to 5,644.23, 7,789.62 and 3,254.93 is: 4,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.23 : 7,789.62 = 3,254.93 : x
  2. Step 2: Convert to fraction form
    5,644.23/7,789.62 = 3,254.93/x
  3. Step 3: Cross multiply
    5,644.23x = 7,789.62 × 3,254.93
  4. Step 4: Simplify right side
    5,644.23x = 25,354,695.80
  5. Step 5: Solve for x
    x = 25,354,695.80/5,644.23
  6. Step 6: Final answer
    x = 4,492.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.