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Finding the Fourth Proportional to 4,685.49, 7,029.45 and 1,764

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Solution

The fourth proportional to 4,685.49, 7,029.45 and 1,764 is: 2,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.49 : 7,029.45 = 1,764 : x
  2. Step 2: Convert to fraction form
    4,685.49/7,029.45 = 1,764/x
  3. Step 3: Cross multiply
    4,685.49x = 7,029.45 × 1,764
  4. Step 4: Simplify right side
    4,685.49x = 12,399,949.80
  5. Step 5: Solve for x
    x = 12,399,949.80/4,685.49
  6. Step 6: Final answer
    x = 2,646.46

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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.