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Finding the Fourth Proportional to 3,455.74, 5,185.44 and 1,508.10

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Solution

The fourth proportional to 3,455.74, 5,185.44 and 1,508.10 is: 2,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.74 : 5,185.44 = 1,508.10 : x
  2. Step 2: Convert to fraction form
    3,455.74/5,185.44 = 1,508.10/x
  3. Step 3: Cross multiply
    3,455.74x = 5,185.44 × 1,508.10
  4. Step 4: Simplify right side
    3,455.74x = 7,820,162.06
  5. Step 5: Solve for x
    x = 7,820,162.06/3,455.74
  6. Step 6: Final answer
    x = 2,262.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.