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Finding the Fourth Proportional to 5,659.67, 8,480.36 and 3,461.74

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Solution

The fourth proportional to 5,659.67, 8,480.36 and 3,461.74 is: 5,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.67 : 8,480.36 = 3,461.74 : x
  2. Step 2: Convert to fraction form
    5,659.67/8,480.36 = 3,461.74/x
  3. Step 3: Cross multiply
    5,659.67x = 8,480.36 × 3,461.74
  4. Step 4: Simplify right side
    5,659.67x = 29,356,788.88
  5. Step 5: Solve for x
    x = 29,356,788.88/5,659.67
  6. Step 6: Final answer
    x = 5,187.01

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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.