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Finding the Fourth Proportional to 3,536.63, 5,305.28 and 1,456.77

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Solution

The fourth proportional to 3,536.63, 5,305.28 and 1,456.77 is: 2,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.63 : 5,305.28 = 1,456.77 : x
  2. Step 2: Convert to fraction form
    3,536.63/5,305.28 = 1,456.77/x
  3. Step 3: Cross multiply
    3,536.63x = 5,305.28 × 1,456.77
  4. Step 4: Simplify right side
    3,536.63x = 7,728,565.46
  5. Step 5: Solve for x
    x = 7,728,565.46/3,536.63
  6. Step 6: Final answer
    x = 2,185.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.