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Finding the Fourth Proportional to 3,695.81, 5,100.19 and 2,017.18

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Solution

The fourth proportional to 3,695.81, 5,100.19 and 2,017.18 is: 2,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.81 : 5,100.19 = 2,017.18 : x
  2. Step 2: Convert to fraction form
    3,695.81/5,100.19 = 2,017.18/x
  3. Step 3: Cross multiply
    3,695.81x = 5,100.19 × 2,017.18
  4. Step 4: Simplify right side
    3,695.81x = 10,287,983.47
  5. Step 5: Solve for x
    x = 10,287,983.47/3,695.81
  6. Step 6: Final answer
    x = 2,783.69

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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.