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Finding the Fourth Proportional to 5,654.04, 7,806.47 and 4,325.43

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Solution

The fourth proportional to 5,654.04, 7,806.47 and 4,325.43 is: 5,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.04 : 7,806.47 = 4,325.43 : x
  2. Step 2: Convert to fraction form
    5,654.04/7,806.47 = 4,325.43/x
  3. Step 3: Cross multiply
    5,654.04x = 7,806.47 × 4,325.43
  4. Step 4: Simplify right side
    5,654.04x = 33,766,317.90
  5. Step 5: Solve for x
    x = 33,766,317.90/5,654.04
  6. Step 6: Final answer
    x = 5,972.07

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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.