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Finding the Fourth Proportional to 2,938.38, 4,403.34 and 2,849.64

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Solution

The fourth proportional to 2,938.38, 4,403.34 and 2,849.64 is: 4,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.38 : 4,403.34 = 2,849.64 : x
  2. Step 2: Convert to fraction form
    2,938.38/4,403.34 = 2,849.64/x
  3. Step 3: Cross multiply
    2,938.38x = 4,403.34 × 2,849.64
  4. Step 4: Simplify right side
    2,938.38x = 12,547,933.80
  5. Step 5: Solve for x
    x = 12,547,933.80/2,938.38
  6. Step 6: Final answer
    x = 4,270.36

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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.