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Finding the Fourth Proportional to 3,549.70, 4,898.58 and 1,977.76

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Solution

The fourth proportional to 3,549.70, 4,898.58 and 1,977.76 is: 2,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.70 : 4,898.58 = 1,977.76 : x
  2. Step 2: Convert to fraction form
    3,549.70/4,898.58 = 1,977.76/x
  3. Step 3: Cross multiply
    3,549.70x = 4,898.58 × 1,977.76
  4. Step 4: Simplify right side
    3,549.70x = 9,688,215.58
  5. Step 5: Solve for x
    x = 9,688,215.58/3,549.70
  6. Step 6: Final answer
    x = 2,729.31

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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.