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Finding the Fourth Proportional to 4,536.78, 6,806.28 and 1,763.64

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Solution

The fourth proportional to 4,536.78, 6,806.28 and 1,763.64 is: 2,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.78 : 6,806.28 = 1,763.64 : x
  2. Step 2: Convert to fraction form
    4,536.78/6,806.28 = 1,763.64/x
  3. Step 3: Cross multiply
    4,536.78x = 6,806.28 × 1,763.64
  4. Step 4: Simplify right side
    4,536.78x = 12,003,827.66
  5. Step 5: Solve for x
    x = 12,003,827.66/4,536.78
  6. Step 6: Final answer
    x = 2,645.89

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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.