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Finding the Fourth Proportional to 5,271.12, 7,905.87 and 1,763.64

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Solution

The fourth proportional to 5,271.12, 7,905.87 and 1,763.64 is: 2,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.12 : 7,905.87 = 1,763.64 : x
  2. Step 2: Convert to fraction form
    5,271.12/7,905.87 = 1,763.64/x
  3. Step 3: Cross multiply
    5,271.12x = 7,905.87 × 1,763.64
  4. Step 4: Simplify right side
    5,271.12x = 13,943,108.57
  5. Step 5: Solve for x
    x = 13,943,108.57/5,271.12
  6. Step 6: Final answer
    x = 2,645.19

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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.