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Finding the Fourth Proportional to 5,405.76, 8,105.75 and 1,656.87

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Solution

The fourth proportional to 5,405.76, 8,105.75 and 1,656.87 is: 2,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.76 : 8,105.75 = 1,656.87 : x
  2. Step 2: Convert to fraction form
    5,405.76/8,105.75 = 1,656.87/x
  3. Step 3: Cross multiply
    5,405.76x = 8,105.75 × 1,656.87
  4. Step 4: Simplify right side
    5,405.76x = 13,430,202.33
  5. Step 5: Solve for x
    x = 13,430,202.33/5,405.76
  6. Step 6: Final answer
    x = 2,484.43

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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.