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Finding the Fourth Proportional to 4,129.02, 6,193.55 and 1,393.02

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Solution

The fourth proportional to 4,129.02, 6,193.55 and 1,393.02 is: 2,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.02 : 6,193.55 = 1,393.02 : x
  2. Step 2: Convert to fraction form
    4,129.02/6,193.55 = 1,393.02/x
  3. Step 3: Cross multiply
    4,129.02x = 6,193.55 × 1,393.02
  4. Step 4: Simplify right side
    4,129.02x = 8,627,739.02
  5. Step 5: Solve for x
    x = 8,627,739.02/4,129.02
  6. Step 6: Final answer
    x = 2,089.54

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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.