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Finding the Fourth Proportional to 3,415.12, 5,129.20 and 1,957.12

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Solution

The fourth proportional to 3,415.12, 5,129.20 and 1,957.12 is: 2,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.12 : 5,129.20 = 1,957.12 : x
  2. Step 2: Convert to fraction form
    3,415.12/5,129.20 = 1,957.12/x
  3. Step 3: Cross multiply
    3,415.12x = 5,129.20 × 1,957.12
  4. Step 4: Simplify right side
    3,415.12x = 10,038,459.90
  5. Step 5: Solve for x
    x = 10,038,459.90/3,415.12
  6. Step 6: Final answer
    x = 2,939.42

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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.