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Finding the Fourth Proportional to 3,795.06, 5,678.19 and 3,411.38

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Solution

The fourth proportional to 3,795.06, 5,678.19 and 3,411.38 is: 5,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.06 : 5,678.19 = 3,411.38 : x
  2. Step 2: Convert to fraction form
    3,795.06/5,678.19 = 3,411.38/x
  3. Step 3: Cross multiply
    3,795.06x = 5,678.19 × 3,411.38
  4. Step 4: Simplify right side
    3,795.06x = 19,370,463.80
  5. Step 5: Solve for x
    x = 19,370,463.80/3,795.06
  6. Step 6: Final answer
    x = 5,104.13

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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.