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Finding the Fourth Proportional to 3,874.02, 5,808.97 and 1,533.93

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Solution

The fourth proportional to 3,874.02, 5,808.97 and 1,533.93 is: 2,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.02 : 5,808.97 = 1,533.93 : x
  2. Step 2: Convert to fraction form
    3,874.02/5,808.97 = 1,533.93/x
  3. Step 3: Cross multiply
    3,874.02x = 5,808.97 × 1,533.93
  4. Step 4: Simplify right side
    3,874.02x = 8,910,549.52
  5. Step 5: Solve for x
    x = 8,910,549.52/3,874.02
  6. Step 6: Final answer
    x = 2,300.08

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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.