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Finding the Fourth Proportional to 5,264.58, 7,907.78 and 4,176.55

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Solution

The fourth proportional to 5,264.58, 7,907.78 and 4,176.55 is: 6,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.58 : 7,907.78 = 4,176.55 : x
  2. Step 2: Convert to fraction form
    5,264.58/7,907.78 = 4,176.55/x
  3. Step 3: Cross multiply
    5,264.58x = 7,907.78 × 4,176.55
  4. Step 4: Simplify right side
    5,264.58x = 33,027,238.56
  5. Step 5: Solve for x
    x = 33,027,238.56/5,264.58
  6. Step 6: Final answer
    x = 6,273.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.