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Finding the Fourth Proportional to 3,649.71, 5,034.80 and 2,156.91

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Solution

The fourth proportional to 3,649.71, 5,034.80 and 2,156.91 is: 2,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.71 : 5,034.80 = 2,156.91 : x
  2. Step 2: Convert to fraction form
    3,649.71/5,034.80 = 2,156.91/x
  3. Step 3: Cross multiply
    3,649.71x = 5,034.80 × 2,156.91
  4. Step 4: Simplify right side
    3,649.71x = 10,859,599.68
  5. Step 5: Solve for x
    x = 10,859,599.68/3,649.71
  6. Step 6: Final answer
    x = 2,975.47

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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.