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Finding the Fourth Proportional to 4,277, 5,907.12 and 2,877.32

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Solution

The fourth proportional to 4,277, 5,907.12 and 2,877.32 is: 3,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277 : 5,907.12 = 2,877.32 : x
  2. Step 2: Convert to fraction form
    4,277/5,907.12 = 2,877.32/x
  3. Step 3: Cross multiply
    4,277x = 5,907.12 × 2,877.32
  4. Step 4: Simplify right side
    4,277x = 16,996,674.52
  5. Step 5: Solve for x
    x = 16,996,674.52/4,277
  6. Step 6: Final answer
    x = 3,973.97

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