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Finding the Fourth Proportional to 4,536.56, 6,805.28 and 1,763.45

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Solution

The fourth proportional to 4,536.56, 6,805.28 and 1,763.45 is: 2,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.56 : 6,805.28 = 1,763.45 : x
  2. Step 2: Convert to fraction form
    4,536.56/6,805.28 = 1,763.45/x
  3. Step 3: Cross multiply
    4,536.56x = 6,805.28 × 1,763.45
  4. Step 4: Simplify right side
    4,536.56x = 12,000,762.20
  5. Step 5: Solve for x
    x = 12,000,762.20/4,536.56
  6. Step 6: Final answer
    x = 2,645.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.