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Finding the Fourth Proportional to 4,129.80, 6,194.70 and 2,963.40

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Solution

The fourth proportional to 4,129.80, 6,194.70 and 2,963.40 is: 4,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.80 : 6,194.70 = 2,963.40 : x
  2. Step 2: Convert to fraction form
    4,129.80/6,194.70 = 2,963.40/x
  3. Step 3: Cross multiply
    4,129.80x = 6,194.70 × 2,963.40
  4. Step 4: Simplify right side
    4,129.80x = 18,357,373.98
  5. Step 5: Solve for x
    x = 18,357,373.98/4,129.80
  6. Step 6: Final answer
    x = 4,445.10

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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.