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Finding the Fourth Proportional to 4,884.05, 6,740 and 2,645.93

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Solution

The fourth proportional to 4,884.05, 6,740 and 2,645.93 is: 3,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.05 : 6,740 = 2,645.93 : x
  2. Step 2: Convert to fraction form
    4,884.05/6,740 = 2,645.93/x
  3. Step 3: Cross multiply
    4,884.05x = 6,740 × 2,645.93
  4. Step 4: Simplify right side
    4,884.05x = 17,833,568.20
  5. Step 5: Solve for x
    x = 17,833,568.20/4,884.05
  6. Step 6: Final answer
    x = 3,651.39

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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.