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Finding the Fourth Proportional to 3,713.64, 5,125.08 and 2,221.62

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Solution

The fourth proportional to 3,713.64, 5,125.08 and 2,221.62 is: 3,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.64 : 5,125.08 = 2,221.62 : x
  2. Step 2: Convert to fraction form
    3,713.64/5,125.08 = 2,221.62/x
  3. Step 3: Cross multiply
    3,713.64x = 5,125.08 × 2,221.62
  4. Step 4: Simplify right side
    3,713.64x = 11,385,980.23
  5. Step 5: Solve for x
    x = 11,385,980.23/3,713.64
  6. Step 6: Final answer
    x = 3,065.99

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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.