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Finding the Fourth Proportional to 3,042.40, 4,120.20 and 3,042.40

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Solution

The fourth proportional to 3,042.40, 4,120.20 and 3,042.40 is: 4,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.40 : 4,120.20 = 3,042.40 : x
  2. Step 2: Convert to fraction form
    3,042.40/4,120.20 = 3,042.40/x
  3. Step 3: Cross multiply
    3,042.40x = 4,120.20 × 3,042.40
  4. Step 4: Simplify right side
    3,042.40x = 12,535,296.48
  5. Step 5: Solve for x
    x = 12,535,296.48/3,042.40
  6. Step 6: Final answer
    x = 4,120.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.