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Finding the Fourth Proportional to 3,549.40, 4,898.06 and 1,977.46

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Solution

The fourth proportional to 3,549.40, 4,898.06 and 1,977.46 is: 2,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.40 : 4,898.06 = 1,977.46 : x
  2. Step 2: Convert to fraction form
    3,549.40/4,898.06 = 1,977.46/x
  3. Step 3: Cross multiply
    3,549.40x = 4,898.06 × 1,977.46
  4. Step 4: Simplify right side
    3,549.40x = 9,685,717.73
  5. Step 5: Solve for x
    x = 9,685,717.73/3,549.40
  6. Step 6: Final answer
    x = 2,728.83

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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.