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Finding the Fourth Proportional to 6,204.70, 8,564.47 and 3,972.58

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Solution

The fourth proportional to 6,204.70, 8,564.47 and 3,972.58 is: 5,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.70 : 8,564.47 = 3,972.58 : x
  2. Step 2: Convert to fraction form
    6,204.70/8,564.47 = 3,972.58/x
  3. Step 3: Cross multiply
    6,204.70x = 8,564.47 × 3,972.58
  4. Step 4: Simplify right side
    6,204.70x = 34,023,010.89
  5. Step 5: Solve for x
    x = 34,023,010.89/6,204.70
  6. Step 6: Final answer
    x = 5,483.42

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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.