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Finding the Fourth Proportional to 3,572.64, 4,909.59 and 2,942.01

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Solution

The fourth proportional to 3,572.64, 4,909.59 and 2,942.01 is: 4,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.64 : 4,909.59 = 2,942.01 : x
  2. Step 2: Convert to fraction form
    3,572.64/4,909.59 = 2,942.01/x
  3. Step 3: Cross multiply
    3,572.64x = 4,909.59 × 2,942.01
  4. Step 4: Simplify right side
    3,572.64x = 14,444,062.88
  5. Step 5: Solve for x
    x = 14,444,062.88/3,572.64
  6. Step 6: Final answer
    x = 4,042.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.