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Finding the Fourth Proportional to 3,509.09, 4,842.10 and 2,016.80

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Solution

The fourth proportional to 3,509.09, 4,842.10 and 2,016.80 is: 2,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.09 : 4,842.10 = 2,016.80 : x
  2. Step 2: Convert to fraction form
    3,509.09/4,842.10 = 2,016.80/x
  3. Step 3: Cross multiply
    3,509.09x = 4,842.10 × 2,016.80
  4. Step 4: Simplify right side
    3,509.09x = 9,765,547.28
  5. Step 5: Solve for x
    x = 9,765,547.28/3,509.09
  6. Step 6: Final answer
    x = 2,782.93

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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.