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Finding the Fourth Proportional to 3,681.54, 5,079.66 and 2,109.30

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Solution

The fourth proportional to 3,681.54, 5,079.66 and 2,109.30 is: 2,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.54 : 5,079.66 = 2,109.30 : x
  2. Step 2: Convert to fraction form
    3,681.54/5,079.66 = 2,109.30/x
  3. Step 3: Cross multiply
    3,681.54x = 5,079.66 × 2,109.30
  4. Step 4: Simplify right side
    3,681.54x = 10,714,526.84
  5. Step 5: Solve for x
    x = 10,714,526.84/3,681.54
  6. Step 6: Final answer
    x = 2,910.34

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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.