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Finding the Fourth Proportional to 3,874.67, 5,808.74 and 1,681.75

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Solution

The fourth proportional to 3,874.67, 5,808.74 and 1,681.75 is: 2,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.67 : 5,808.74 = 1,681.75 : x
  2. Step 2: Convert to fraction form
    3,874.67/5,808.74 = 1,681.75/x
  3. Step 3: Cross multiply
    3,874.67x = 5,808.74 × 1,681.75
  4. Step 4: Simplify right side
    3,874.67x = 9,768,848.50
  5. Step 5: Solve for x
    x = 9,768,848.50/3,874.67
  6. Step 6: Final answer
    x = 2,521.21

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Why These Related Problems?

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