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Finding the Fourth Proportional to 4,730.94, 7,097.49 and 1,443.69

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Solution

The fourth proportional to 4,730.94, 7,097.49 and 1,443.69 is: 2,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.94 : 7,097.49 = 1,443.69 : x
  2. Step 2: Convert to fraction form
    4,730.94/7,097.49 = 1,443.69/x
  3. Step 3: Cross multiply
    4,730.94x = 7,097.49 × 1,443.69
  4. Step 4: Simplify right side
    4,730.94x = 10,246,575.34
  5. Step 5: Solve for x
    x = 10,246,575.34/4,730.94
  6. Step 6: Final answer
    x = 2,165.86

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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.