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Finding the Fourth Proportional to 3,102.50, 4,677.02 and 2,896.30

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Solution

The fourth proportional to 3,102.50, 4,677.02 and 2,896.30 is: 4,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.50 : 4,677.02 = 2,896.30 : x
  2. Step 2: Convert to fraction form
    3,102.50/4,677.02 = 2,896.30/x
  3. Step 3: Cross multiply
    3,102.50x = 4,677.02 × 2,896.30
  4. Step 4: Simplify right side
    3,102.50x = 13,546,053.03
  5. Step 5: Solve for x
    x = 13,546,053.03/3,102.50
  6. Step 6: Final answer
    x = 4,366.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.