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Finding the Fourth Proportional to 3,549.83, 4,898.71 and 2,057.74

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Solution

The fourth proportional to 3,549.83, 4,898.71 and 2,057.74 is: 2,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.83 : 4,898.71 = 2,057.74 : x
  2. Step 2: Convert to fraction form
    3,549.83/4,898.71 = 2,057.74/x
  3. Step 3: Cross multiply
    3,549.83x = 4,898.71 × 2,057.74
  4. Step 4: Simplify right side
    3,549.83x = 10,080,261.84
  5. Step 5: Solve for x
    x = 10,080,261.84/3,549.83
  6. Step 6: Final answer
    x = 2,839.65

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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.