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Finding the Fourth Proportional to 5,661.44, 8,493.98 and 4,016.64

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Solution

The fourth proportional to 5,661.44, 8,493.98 and 4,016.64 is: 6,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.44 : 8,493.98 = 4,016.64 : x
  2. Step 2: Convert to fraction form
    5,661.44/8,493.98 = 4,016.64/x
  3. Step 3: Cross multiply
    5,661.44x = 8,493.98 × 4,016.64
  4. Step 4: Simplify right side
    5,661.44x = 34,117,259.83
  5. Step 5: Solve for x
    x = 34,117,259.83/5,661.44
  6. Step 6: Final answer
    x = 6,026.25

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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.