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Finding the Fourth Proportional to 3,537.65, 4,881.94 and 1,966.05

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Solution

The fourth proportional to 3,537.65, 4,881.94 and 1,966.05 is: 2,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.65 : 4,881.94 = 1,966.05 : x
  2. Step 2: Convert to fraction form
    3,537.65/4,881.94 = 1,966.05/x
  3. Step 3: Cross multiply
    3,537.65x = 4,881.94 × 1,966.05
  4. Step 4: Simplify right side
    3,537.65x = 9,598,113.73
  5. Step 5: Solve for x
    x = 9,598,113.73/3,537.65
  6. Step 6: Final answer
    x = 2,713.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.