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Finding the Fourth Proportional to 5,564.47, 7,679.06 and 3,046.54

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Solution

The fourth proportional to 5,564.47, 7,679.06 and 3,046.54 is: 4,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.47 : 7,679.06 = 3,046.54 : x
  2. Step 2: Convert to fraction form
    5,564.47/7,679.06 = 3,046.54/x
  3. Step 3: Cross multiply
    5,564.47x = 7,679.06 × 3,046.54
  4. Step 4: Simplify right side
    5,564.47x = 23,394,541.82
  5. Step 5: Solve for x
    x = 23,394,541.82/5,564.47
  6. Step 6: Final answer
    x = 4,204.27

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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.