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Finding the Fourth Proportional to 3,549.94, 4,897.86 and 2,057.78

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Solution

The fourth proportional to 3,549.94, 4,897.86 and 2,057.78 is: 2,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.94 : 4,897.86 = 2,057.78 : x
  2. Step 2: Convert to fraction form
    3,549.94/4,897.86 = 2,057.78/x
  3. Step 3: Cross multiply
    3,549.94x = 4,897.86 × 2,057.78
  4. Step 4: Simplify right side
    3,549.94x = 10,078,718.35
  5. Step 5: Solve for x
    x = 10,078,718.35/3,549.94
  6. Step 6: Final answer
    x = 2,839.12

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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.