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Finding the Fourth Proportional to 5,938, 8,907 and 2,475.25

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Solution

The fourth proportional to 5,938, 8,907 and 2,475.25 is: 3,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938 : 8,907 = 2,475.25 : x
  2. Step 2: Convert to fraction form
    5,938/8,907 = 2,475.25/x
  3. Step 3: Cross multiply
    5,938x = 8,907 × 2,475.25
  4. Step 4: Simplify right side
    5,938x = 22,047,051.75
  5. Step 5: Solve for x
    x = 22,047,051.75/5,938
  6. Step 6: Final answer
    x = 3,712.88

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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.