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Finding the Fourth Proportional to 3,681.40, 5,079.76 and 2,109.19

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Solution

The fourth proportional to 3,681.40, 5,079.76 and 2,109.19 is: 2,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.40 : 5,079.76 = 2,109.19 : x
  2. Step 2: Convert to fraction form
    3,681.40/5,079.76 = 2,109.19/x
  3. Step 3: Cross multiply
    3,681.40x = 5,079.76 × 2,109.19
  4. Step 4: Simplify right side
    3,681.40x = 10,714,161.02
  5. Step 5: Solve for x
    x = 10,714,161.02/3,681.40
  6. Step 6: Final answer
    x = 2,910.35

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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.