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Finding the Fourth Proportional to 5,907.47, 8,858.14 and 2,786.64

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Solution

The fourth proportional to 5,907.47, 8,858.14 and 2,786.64 is: 4,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.47 : 8,858.14 = 2,786.64 : x
  2. Step 2: Convert to fraction form
    5,907.47/8,858.14 = 2,786.64/x
  3. Step 3: Cross multiply
    5,907.47x = 8,858.14 × 2,786.64
  4. Step 4: Simplify right side
    5,907.47x = 24,684,447.25
  5. Step 5: Solve for x
    x = 24,684,447.25/5,907.47
  6. Step 6: Final answer
    x = 4,178.51

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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.