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Finding the Fourth Proportional to 3,536.97, 5,300.83 and 1,454.59

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Solution

The fourth proportional to 3,536.97, 5,300.83 and 1,454.59 is: 2,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.97 : 5,300.83 = 1,454.59 : x
  2. Step 2: Convert to fraction form
    3,536.97/5,300.83 = 1,454.59/x
  3. Step 3: Cross multiply
    3,536.97x = 5,300.83 × 1,454.59
  4. Step 4: Simplify right side
    3,536.97x = 7,710,534.31
  5. Step 5: Solve for x
    x = 7,710,534.31/3,536.97
  6. Step 6: Final answer
    x = 2,179.98

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