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Finding the Fourth Proportional to 4,978.33, 6,870.07 and 2,740.15

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Solution

The fourth proportional to 4,978.33, 6,870.07 and 2,740.15 is: 3,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.33 : 6,870.07 = 2,740.15 : x
  2. Step 2: Convert to fraction form
    4,978.33/6,870.07 = 2,740.15/x
  3. Step 3: Cross multiply
    4,978.33x = 6,870.07 × 2,740.15
  4. Step 4: Simplify right side
    4,978.33x = 18,825,022.31
  5. Step 5: Solve for x
    x = 18,825,022.31/4,978.33
  6. Step 6: Final answer
    x = 3,781.39

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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.