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Finding the Fourth Proportional to 5,210.30, 7,189.80 and 2,852.42

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Solution

The fourth proportional to 5,210.30, 7,189.80 and 2,852.42 is: 3,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.30 : 7,189.80 = 2,852.42 : x
  2. Step 2: Convert to fraction form
    5,210.30/7,189.80 = 2,852.42/x
  3. Step 3: Cross multiply
    5,210.30x = 7,189.80 × 2,852.42
  4. Step 4: Simplify right side
    5,210.30x = 20,508,329.32
  5. Step 5: Solve for x
    x = 20,508,329.32/5,210.30
  6. Step 6: Final answer
    x = 3,936.11

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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.