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Finding the Fourth Proportional to 4,730.75, 7,097.15 and 1,443.75

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Solution

The fourth proportional to 4,730.75, 7,097.15 and 1,443.75 is: 2,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.75 : 7,097.15 = 1,443.75 : x
  2. Step 2: Convert to fraction form
    4,730.75/7,097.15 = 1,443.75/x
  3. Step 3: Cross multiply
    4,730.75x = 7,097.15 × 1,443.75
  4. Step 4: Simplify right side
    4,730.75x = 10,246,510.31
  5. Step 5: Solve for x
    x = 10,246,510.31/4,730.75
  6. Step 6: Final answer
    x = 2,165.94

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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.