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Finding the Fourth Proportional to 3,678.65, 5,514.10 and 1,801.95

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Solution

The fourth proportional to 3,678.65, 5,514.10 and 1,801.95 is: 2,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.65 : 5,514.10 = 1,801.95 : x
  2. Step 2: Convert to fraction form
    3,678.65/5,514.10 = 1,801.95/x
  3. Step 3: Cross multiply
    3,678.65x = 5,514.10 × 1,801.95
  4. Step 4: Simplify right side
    3,678.65x = 9,936,095.91
  5. Step 5: Solve for x
    x = 9,936,095.91/3,678.65
  6. Step 6: Final answer
    x = 2,701.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.