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Finding the Fourth Proportional to 3,287.84, 4,537.28 and 1,795.82

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Solution

The fourth proportional to 3,287.84, 4,537.28 and 1,795.82 is: 2,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.84 : 4,537.28 = 1,795.82 : x
  2. Step 2: Convert to fraction form
    3,287.84/4,537.28 = 1,795.82/x
  3. Step 3: Cross multiply
    3,287.84x = 4,537.28 × 1,795.82
  4. Step 4: Simplify right side
    3,287.84x = 8,148,106.50
  5. Step 5: Solve for x
    x = 8,148,106.50/3,287.84
  6. Step 6: Final answer
    x = 2,478.26

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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.