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Finding the Fourth Proportional to 5,210.60, 7,190.02 and 3,114.36

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Solution

The fourth proportional to 5,210.60, 7,190.02 and 3,114.36 is: 4,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.60 : 7,190.02 = 3,114.36 : x
  2. Step 2: Convert to fraction form
    5,210.60/7,190.02 = 3,114.36/x
  3. Step 3: Cross multiply
    5,210.60x = 7,190.02 × 3,114.36
  4. Step 4: Simplify right side
    5,210.60x = 22,392,310.69
  5. Step 5: Solve for x
    x = 22,392,310.69/5,210.60
  6. Step 6: Final answer
    x = 4,297.45

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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.