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Finding the Fourth Proportional to 4,729.62, 7,094.68 and 1,219.66

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Solution

The fourth proportional to 4,729.62, 7,094.68 and 1,219.66 is: 1,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.62 : 7,094.68 = 1,219.66 : x
  2. Step 2: Convert to fraction form
    4,729.62/7,094.68 = 1,219.66/x
  3. Step 3: Cross multiply
    4,729.62x = 7,094.68 × 1,219.66
  4. Step 4: Simplify right side
    4,729.62x = 8,653,097.41
  5. Step 5: Solve for x
    x = 8,653,097.41/4,729.62
  6. Step 6: Final answer
    x = 1,829.55

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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.