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Finding the Fourth Proportional to 4,934.03, 7,400.94 and 1,602.27

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Solution

The fourth proportional to 4,934.03, 7,400.94 and 1,602.27 is: 2,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.03 : 7,400.94 = 1,602.27 : x
  2. Step 2: Convert to fraction form
    4,934.03/7,400.94 = 1,602.27/x
  3. Step 3: Cross multiply
    4,934.03x = 7,400.94 × 1,602.27
  4. Step 4: Simplify right side
    4,934.03x = 11,858,298.13
  5. Step 5: Solve for x
    x = 11,858,298.13/4,934.03
  6. Step 6: Final answer
    x = 2,403.37

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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.