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Finding the Fourth Proportional to 3,420.64, 5,130.96 and 1,960.72

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Solution

The fourth proportional to 3,420.64, 5,130.96 and 1,960.72 is: 2,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.64 : 5,130.96 = 1,960.72 : x
  2. Step 2: Convert to fraction form
    3,420.64/5,130.96 = 1,960.72/x
  3. Step 3: Cross multiply
    3,420.64x = 5,130.96 × 1,960.72
  4. Step 4: Simplify right side
    3,420.64x = 10,060,375.89
  5. Step 5: Solve for x
    x = 10,060,375.89/3,420.64
  6. Step 6: Final answer
    x = 2,941.08

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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.