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Finding the Fourth Proportional to 4,650.80, 6,967.29 and 4,494.47

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Solution

The fourth proportional to 4,650.80, 6,967.29 and 4,494.47 is: 6,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.80 : 6,967.29 = 4,494.47 : x
  2. Step 2: Convert to fraction form
    4,650.80/6,967.29 = 4,494.47/x
  3. Step 3: Cross multiply
    4,650.80x = 6,967.29 × 4,494.47
  4. Step 4: Simplify right side
    4,650.80x = 31,314,275.89
  5. Step 5: Solve for x
    x = 31,314,275.89/4,650.80
  6. Step 6: Final answer
    x = 6,733.09

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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.