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Finding the Fourth Proportional to 5,210.69, 7,190.80 and 3,086.34

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Solution

The fourth proportional to 5,210.69, 7,190.80 and 3,086.34 is: 4,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.69 : 7,190.80 = 3,086.34 : x
  2. Step 2: Convert to fraction form
    5,210.69/7,190.80 = 3,086.34/x
  3. Step 3: Cross multiply
    5,210.69x = 7,190.80 × 3,086.34
  4. Step 4: Simplify right side
    5,210.69x = 22,193,253.67
  5. Step 5: Solve for x
    x = 22,193,253.67/5,210.69
  6. Step 6: Final answer
    x = 4,259.18

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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.