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Finding the Fourth Proportional to 5,698.11, 8,548.11 and 2,411.25

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Solution

The fourth proportional to 5,698.11, 8,548.11 and 2,411.25 is: 3,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.11 : 8,548.11 = 2,411.25 : x
  2. Step 2: Convert to fraction form
    5,698.11/8,548.11 = 2,411.25/x
  3. Step 3: Cross multiply
    5,698.11x = 8,548.11 × 2,411.25
  4. Step 4: Simplify right side
    5,698.11x = 20,611,630.24
  5. Step 5: Solve for x
    x = 20,611,630.24/5,698.11
  6. Step 6: Final answer
    x = 3,617.27

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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.