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Finding the Fourth Proportional to 3,548.86, 4,897.43 and 2,057.65

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Solution

The fourth proportional to 3,548.86, 4,897.43 and 2,057.65 is: 2,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.86 : 4,897.43 = 2,057.65 : x
  2. Step 2: Convert to fraction form
    3,548.86/4,897.43 = 2,057.65/x
  3. Step 3: Cross multiply
    3,548.86x = 4,897.43 × 2,057.65
  4. Step 4: Simplify right side
    3,548.86x = 10,077,177.50
  5. Step 5: Solve for x
    x = 10,077,177.50/3,548.86
  6. Step 6: Final answer
    x = 2,839.55

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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.