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Finding the Fourth Proportional to 3,674.30, 5,070.54 and 1,995.71

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Solution

The fourth proportional to 3,674.30, 5,070.54 and 1,995.71 is: 2,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.30 : 5,070.54 = 1,995.71 : x
  2. Step 2: Convert to fraction form
    3,674.30/5,070.54 = 1,995.71/x
  3. Step 3: Cross multiply
    3,674.30x = 5,070.54 × 1,995.71
  4. Step 4: Simplify right side
    3,674.30x = 10,119,327.38
  5. Step 5: Solve for x
    x = 10,119,327.38/3,674.30
  6. Step 6: Final answer
    x = 2,754.08

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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.