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Finding the Fourth Proportional to 3,577.65, 4,937.22 and 2,085.69

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Solution

The fourth proportional to 3,577.65, 4,937.22 and 2,085.69 is: 2,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.65 : 4,937.22 = 2,085.69 : x
  2. Step 2: Convert to fraction form
    3,577.65/4,937.22 = 2,085.69/x
  3. Step 3: Cross multiply
    3,577.65x = 4,937.22 × 2,085.69
  4. Step 4: Simplify right side
    3,577.65x = 10,297,510.38
  5. Step 5: Solve for x
    x = 10,297,510.38/3,577.65
  6. Step 6: Final answer
    x = 2,878.29

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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.