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Finding the Fourth Proportional to 5,798.14, 8,698.97 and 2,102.11

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Solution

The fourth proportional to 5,798.14, 8,698.97 and 2,102.11 is: 3,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.14 : 8,698.97 = 2,102.11 : x
  2. Step 2: Convert to fraction form
    5,798.14/8,698.97 = 2,102.11/x
  3. Step 3: Cross multiply
    5,798.14x = 8,698.97 × 2,102.11
  4. Step 4: Simplify right side
    5,798.14x = 18,286,181.32
  5. Step 5: Solve for x
    x = 18,286,181.32/5,798.14
  6. Step 6: Final answer
    x = 3,153.80

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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.