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Finding the Fourth Proportional to 3,536.16, 4,879.71 and 1,964.22

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Solution

The fourth proportional to 3,536.16, 4,879.71 and 1,964.22 is: 2,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.16 : 4,879.71 = 1,964.22 : x
  2. Step 2: Convert to fraction form
    3,536.16/4,879.71 = 1,964.22/x
  3. Step 3: Cross multiply
    3,536.16x = 4,879.71 × 1,964.22
  4. Step 4: Simplify right side
    3,536.16x = 9,584,823.98
  5. Step 5: Solve for x
    x = 9,584,823.98/3,536.16
  6. Step 6: Final answer
    x = 2,710.52

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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.