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Finding the Fourth Proportional to 3,695.71, 5,100.04 and 2,017.10

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Solution

The fourth proportional to 3,695.71, 5,100.04 and 2,017.10 is: 2,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.71 : 5,100.04 = 2,017.10 : x
  2. Step 2: Convert to fraction form
    3,695.71/5,100.04 = 2,017.10/x
  3. Step 3: Cross multiply
    3,695.71x = 5,100.04 × 2,017.10
  4. Step 4: Simplify right side
    3,695.71x = 10,287,290.68
  5. Step 5: Solve for x
    x = 10,287,290.68/3,695.71
  6. Step 6: Final answer
    x = 2,783.58

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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.