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Finding the Fourth Proportional to 3,536.77, 5,305.14 and 904.27

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Solution

The fourth proportional to 3,536.77, 5,305.14 and 904.27 is: 1,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.77 : 5,305.14 = 904.27 : x
  2. Step 2: Convert to fraction form
    3,536.77/5,305.14 = 904.27/x
  3. Step 3: Cross multiply
    3,536.77x = 5,305.14 × 904.27
  4. Step 4: Simplify right side
    3,536.77x = 4,797,278.95
  5. Step 5: Solve for x
    x = 4,797,278.95/3,536.77
  6. Step 6: Final answer
    x = 1,356.40

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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.