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Finding the Fourth Proportional to 3,494.74, 5,239.85 and 1,852.06

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Solution

The fourth proportional to 3,494.74, 5,239.85 and 1,852.06 is: 2,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.74 : 5,239.85 = 1,852.06 : x
  2. Step 2: Convert to fraction form
    3,494.74/5,239.85 = 1,852.06/x
  3. Step 3: Cross multiply
    3,494.74x = 5,239.85 × 1,852.06
  4. Step 4: Simplify right side
    3,494.74x = 9,704,516.59
  5. Step 5: Solve for x
    x = 9,704,516.59/3,494.74
  6. Step 6: Final answer
    x = 2,776.89

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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.