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Finding the Fourth Proportional to 5,962.42, 8,929.79 and 5,224.31

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Solution

The fourth proportional to 5,962.42, 8,929.79 and 5,224.31 is: 7,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.42 : 8,929.79 = 5,224.31 : x
  2. Step 2: Convert to fraction form
    5,962.42/8,929.79 = 5,224.31/x
  3. Step 3: Cross multiply
    5,962.42x = 8,929.79 × 5,224.31
  4. Step 4: Simplify right side
    5,962.42x = 46,652,015.45
  5. Step 5: Solve for x
    x = 46,652,015.45/5,962.42
  6. Step 6: Final answer
    x = 7,824.34

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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.