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Finding the Fourth Proportional to 5,129.80, 7,698.30 and 2,210.20

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Solution

The fourth proportional to 5,129.80, 7,698.30 and 2,210.20 is: 3,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.80 : 7,698.30 = 2,210.20 : x
  2. Step 2: Convert to fraction form
    5,129.80/7,698.30 = 2,210.20/x
  3. Step 3: Cross multiply
    5,129.80x = 7,698.30 × 2,210.20
  4. Step 4: Simplify right side
    5,129.80x = 17,014,782.66
  5. Step 5: Solve for x
    x = 17,014,782.66/5,129.80
  6. Step 6: Final answer
    x = 3,316.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.