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Finding the Fourth Proportional to 3,560.00, 4,912.71 and 1,966.77

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Solution

The fourth proportional to 3,560.00, 4,912.71 and 1,966.77 is: 2,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.00 : 4,912.71 = 1,966.77 : x
  2. Step 2: Convert to fraction form
    3,560.00/4,912.71 = 1,966.77/x
  3. Step 3: Cross multiply
    3,560.00x = 4,912.71 × 1,966.77
  4. Step 4: Simplify right side
    3,560.00x = 9,662,170.65
  5. Step 5: Solve for x
    x = 9,662,170.65/3,560.00
  6. Step 6: Final answer
    x = 2,714.10

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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.