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Finding the Fourth Proportional to 3,674.88, 5,071.44 and 2,102.64

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Solution

The fourth proportional to 3,674.88, 5,071.44 and 2,102.64 is: 2,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.88 : 5,071.44 = 2,102.64 : x
  2. Step 2: Convert to fraction form
    3,674.88/5,071.44 = 2,102.64/x
  3. Step 3: Cross multiply
    3,674.88x = 5,071.44 × 2,102.64
  4. Step 4: Simplify right side
    3,674.88x = 10,663,412.60
  5. Step 5: Solve for x
    x = 10,663,412.60/3,674.88
  6. Step 6: Final answer
    x = 2,901.70

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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.