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Finding the Fourth Proportional to 4,153.84, 5,732.14 and 2,290.84

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Solution

The fourth proportional to 4,153.84, 5,732.14 and 2,290.84 is: 3,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.84 : 5,732.14 = 2,290.84 : x
  2. Step 2: Convert to fraction form
    4,153.84/5,732.14 = 2,290.84/x
  3. Step 3: Cross multiply
    4,153.84x = 5,732.14 × 2,290.84
  4. Step 4: Simplify right side
    4,153.84x = 13,131,382.65
  5. Step 5: Solve for x
    x = 13,131,382.65/4,153.84
  6. Step 6: Final answer
    x = 3,161.27

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Double scale
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1.5x scale

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.