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Finding the Fourth Proportional to 3,042.42, 4,562.07 and 2,003.01

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Solution

The fourth proportional to 3,042.42, 4,562.07 and 2,003.01 is: 3,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.42 : 4,562.07 = 2,003.01 : x
  2. Step 2: Convert to fraction form
    3,042.42/4,562.07 = 2,003.01/x
  3. Step 3: Cross multiply
    3,042.42x = 4,562.07 × 2,003.01
  4. Step 4: Simplify right side
    3,042.42x = 9,137,871.83
  5. Step 5: Solve for x
    x = 9,137,871.83/3,042.42
  6. Step 6: Final answer
    x = 3,003.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.