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Finding the Fourth Proportional to 3,498.39, 4,826.52 and 2,082.51

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Solution

The fourth proportional to 3,498.39, 4,826.52 and 2,082.51 is: 2,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.39 : 4,826.52 = 2,082.51 : x
  2. Step 2: Convert to fraction form
    3,498.39/4,826.52 = 2,082.51/x
  3. Step 3: Cross multiply
    3,498.39x = 4,826.52 × 2,082.51
  4. Step 4: Simplify right side
    3,498.39x = 10,051,276.17
  5. Step 5: Solve for x
    x = 10,051,276.17/3,498.39
  6. Step 6: Final answer
    x = 2,873.11

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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.