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Finding the Fourth Proportional to 4,740.61, 6,542.22 and 2,645.14

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Solution

The fourth proportional to 4,740.61, 6,542.22 and 2,645.14 is: 3,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.61 : 6,542.22 = 2,645.14 : x
  2. Step 2: Convert to fraction form
    4,740.61/6,542.22 = 2,645.14/x
  3. Step 3: Cross multiply
    4,740.61x = 6,542.22 × 2,645.14
  4. Step 4: Simplify right side
    4,740.61x = 17,305,087.81
  5. Step 5: Solve for x
    x = 17,305,087.81/4,740.61
  6. Step 6: Final answer
    x = 3,650.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.