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Finding the Fourth Proportional to 3,673.56, 5,069.64 and 2,102.16

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Solution

The fourth proportional to 3,673.56, 5,069.64 and 2,102.16 is: 2,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.56 : 5,069.64 = 2,102.16 : x
  2. Step 2: Convert to fraction form
    3,673.56/5,069.64 = 2,102.16/x
  3. Step 3: Cross multiply
    3,673.56x = 5,069.64 × 2,102.16
  4. Step 4: Simplify right side
    3,673.56x = 10,657,194.42
  5. Step 5: Solve for x
    x = 10,657,194.42/3,673.56
  6. Step 6: Final answer
    x = 2,901.05

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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.