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Finding the Fourth Proportional to 4,780.98, 7,164.54 and 3,298.68

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Solution

The fourth proportional to 4,780.98, 7,164.54 and 3,298.68 is: 4,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.98 : 7,164.54 = 3,298.68 : x
  2. Step 2: Convert to fraction form
    4,780.98/7,164.54 = 3,298.68/x
  3. Step 3: Cross multiply
    4,780.98x = 7,164.54 × 3,298.68
  4. Step 4: Simplify right side
    4,780.98x = 23,633,524.81
  5. Step 5: Solve for x
    x = 23,633,524.81/4,780.98
  6. Step 6: Final answer
    x = 4,943.24

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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.