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Finding the Fourth Proportional to 4,650.09, 6,978.56 and 3,420.87

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Solution

The fourth proportional to 4,650.09, 6,978.56 and 3,420.87 is: 5,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.09 : 6,978.56 = 3,420.87 : x
  2. Step 2: Convert to fraction form
    4,650.09/6,978.56 = 3,420.87/x
  3. Step 3: Cross multiply
    4,650.09x = 6,978.56 × 3,420.87
  4. Step 4: Simplify right side
    4,650.09x = 23,872,729.44
  5. Step 5: Solve for x
    x = 23,872,729.44/4,650.09
  6. Step 6: Final answer
    x = 5,133.82

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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.