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Finding the Fourth Proportional to 5,210.04, 7,189.86 and 2,852.22

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Solution

The fourth proportional to 5,210.04, 7,189.86 and 2,852.22 is: 3,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.04 : 7,189.86 = 2,852.22 : x
  2. Step 2: Convert to fraction form
    5,210.04/7,189.86 = 2,852.22/x
  3. Step 3: Cross multiply
    5,210.04x = 7,189.86 × 2,852.22
  4. Step 4: Simplify right side
    5,210.04x = 20,507,062.49
  5. Step 5: Solve for x
    x = 20,507,062.49/5,210.04
  6. Step 6: Final answer
    x = 3,936.07

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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.