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Finding the Fourth Proportional to 3,649.77, 5,036.76 and 2,077.92

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Solution

The fourth proportional to 3,649.77, 5,036.76 and 2,077.92 is: 2,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.77 : 5,036.76 = 2,077.92 : x
  2. Step 2: Convert to fraction form
    3,649.77/5,036.76 = 2,077.92/x
  3. Step 3: Cross multiply
    3,649.77x = 5,036.76 × 2,077.92
  4. Step 4: Simplify right side
    3,649.77x = 10,465,984.34
  5. Step 5: Solve for x
    x = 10,465,984.34/3,649.77
  6. Step 6: Final answer
    x = 2,867.57

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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.