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Finding the Fourth Proportional to 5,210.52, 7,190.50 and 2,852.66

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Solution

The fourth proportional to 5,210.52, 7,190.50 and 2,852.66 is: 3,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.52 : 7,190.50 = 2,852.66 : x
  2. Step 2: Convert to fraction form
    5,210.52/7,190.50 = 2,852.66/x
  3. Step 3: Cross multiply
    5,210.52x = 7,190.50 × 2,852.66
  4. Step 4: Simplify right side
    5,210.52x = 20,512,051.73
  5. Step 5: Solve for x
    x = 20,512,051.73/5,210.52
  6. Step 6: Final answer
    x = 3,936.66

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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.