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Finding the Fourth Proportional to 5,769.25, 8,655.32 and 1,665.25

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Solution

The fourth proportional to 5,769.25, 8,655.32 and 1,665.25 is: 2,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.25 : 8,655.32 = 1,665.25 : x
  2. Step 2: Convert to fraction form
    5,769.25/8,655.32 = 1,665.25/x
  3. Step 3: Cross multiply
    5,769.25x = 8,655.32 × 1,665.25
  4. Step 4: Simplify right side
    5,769.25x = 14,413,271.63
  5. Step 5: Solve for x
    x = 14,413,271.63/5,769.25
  6. Step 6: Final answer
    x = 2,498.29

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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.