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Finding the Fourth Proportional to 3,416.82, 4,715.13 and 1,904.40

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Solution

The fourth proportional to 3,416.82, 4,715.13 and 1,904.40 is: 2,628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.82 : 4,715.13 = 1,904.40 : x
  2. Step 2: Convert to fraction form
    3,416.82/4,715.13 = 1,904.40/x
  3. Step 3: Cross multiply
    3,416.82x = 4,715.13 × 1,904.40
  4. Step 4: Simplify right side
    3,416.82x = 8,979,493.57
  5. Step 5: Solve for x
    x = 8,979,493.57/3,416.82
  6. Step 6: Final answer
    x = 2,628.03

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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.