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Finding the Fourth Proportional to 3,538.12, 5,303.94 and 1,228

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Solution

The fourth proportional to 3,538.12, 5,303.94 and 1,228 is: 1,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.12 : 5,303.94 = 1,228 : x
  2. Step 2: Convert to fraction form
    3,538.12/5,303.94 = 1,228/x
  3. Step 3: Cross multiply
    3,538.12x = 5,303.94 × 1,228
  4. Step 4: Simplify right side
    3,538.12x = 6,513,238.32
  5. Step 5: Solve for x
    x = 6,513,238.32/3,538.12
  6. Step 6: Final answer
    x = 1,840.88

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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.