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Finding the Fourth Proportional to 4,625.88, 6,938.00 and 1,505.42

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Solution

The fourth proportional to 4,625.88, 6,938.00 and 1,505.42 is: 2,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.88 : 6,938.00 = 1,505.42 : x
  2. Step 2: Convert to fraction form
    4,625.88/6,938.00 = 1,505.42/x
  3. Step 3: Cross multiply
    4,625.88x = 6,938.00 × 1,505.42
  4. Step 4: Simplify right side
    4,625.88x = 10,444,613.78
  5. Step 5: Solve for x
    x = 10,444,613.78/4,625.88
  6. Step 6: Final answer
    x = 2,257.87

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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.