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Finding the Fourth Proportional to 3,628.66, 5,017.60 and 2,881.30

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Solution

The fourth proportional to 3,628.66, 5,017.60 and 2,881.30 is: 3,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.66 : 5,017.60 = 2,881.30 : x
  2. Step 2: Convert to fraction form
    3,628.66/5,017.60 = 2,881.30/x
  3. Step 3: Cross multiply
    3,628.66x = 5,017.60 × 2,881.30
  4. Step 4: Simplify right side
    3,628.66x = 14,457,210.88
  5. Step 5: Solve for x
    x = 14,457,210.88/3,628.66
  6. Step 6: Final answer
    x = 3,984.17

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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.