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Finding the Fourth Proportional to 3,287.16, 4,536.38 and 1,795.15

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Solution

The fourth proportional to 3,287.16, 4,536.38 and 1,795.15 is: 2,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.16 : 4,536.38 = 1,795.15 : x
  2. Step 2: Convert to fraction form
    3,287.16/4,536.38 = 1,795.15/x
  3. Step 3: Cross multiply
    3,287.16x = 4,536.38 × 1,795.15
  4. Step 4: Simplify right side
    3,287.16x = 8,143,482.56
  5. Step 5: Solve for x
    x = 8,143,482.56/3,287.16
  6. Step 6: Final answer
    x = 2,477.36

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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.