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Finding the Fourth Proportional to 5,210.16, 7,190.17 and 2,852.45

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Solution

The fourth proportional to 5,210.16, 7,190.17 and 2,852.45 is: 3,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.16 : 7,190.17 = 2,852.45 : x
  2. Step 2: Convert to fraction form
    5,210.16/7,190.17 = 2,852.45/x
  3. Step 3: Cross multiply
    5,210.16x = 7,190.17 × 2,852.45
  4. Step 4: Simplify right side
    5,210.16x = 20,509,584.30
  5. Step 5: Solve for x
    x = 20,509,584.30/5,210.16
  6. Step 6: Final answer
    x = 3,936.46

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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.