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Finding the Fourth Proportional to 3,106.05, 4,652.82 and 1,437.82

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Solution

The fourth proportional to 3,106.05, 4,652.82 and 1,437.82 is: 2,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.05 : 4,652.82 = 1,437.82 : x
  2. Step 2: Convert to fraction form
    3,106.05/4,652.82 = 1,437.82/x
  3. Step 3: Cross multiply
    3,106.05x = 4,652.82 × 1,437.82
  4. Step 4: Simplify right side
    3,106.05x = 6,689,917.65
  5. Step 5: Solve for x
    x = 6,689,917.65/3,106.05
  6. Step 6: Final answer
    x = 2,153.83

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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.