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Finding the Fourth Proportional to 3,309.57, 4,962.93 and 1,228.05

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Solution

The fourth proportional to 3,309.57, 4,962.93 and 1,228.05 is: 1,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.57 : 4,962.93 = 1,228.05 : x
  2. Step 2: Convert to fraction form
    3,309.57/4,962.93 = 1,228.05/x
  3. Step 3: Cross multiply
    3,309.57x = 4,962.93 × 1,228.05
  4. Step 4: Simplify right side
    3,309.57x = 6,094,726.19
  5. Step 5: Solve for x
    x = 6,094,726.19/3,309.57
  6. Step 6: Final answer
    x = 1,841.55

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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.