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Finding the Fourth Proportional to 3,646.76, 5,033.08 and 2,231.28

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Solution

The fourth proportional to 3,646.76, 5,033.08 and 2,231.28 is: 3,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.76 : 5,033.08 = 2,231.28 : x
  2. Step 2: Convert to fraction form
    3,646.76/5,033.08 = 2,231.28/x
  3. Step 3: Cross multiply
    3,646.76x = 5,033.08 × 2,231.28
  4. Step 4: Simplify right side
    3,646.76x = 11,230,210.74
  5. Step 5: Solve for x
    x = 11,230,210.74/3,646.76
  6. Step 6: Final answer
    x = 3,079.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.