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Finding the Fourth Proportional to 4,733.48, 7,097.24 and 2,392.17

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Solution

The fourth proportional to 4,733.48, 7,097.24 and 2,392.17 is: 3,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.48 : 7,097.24 = 2,392.17 : x
  2. Step 2: Convert to fraction form
    4,733.48/7,097.24 = 2,392.17/x
  3. Step 3: Cross multiply
    4,733.48x = 7,097.24 × 2,392.17
  4. Step 4: Simplify right side
    4,733.48x = 16,977,792.65
  5. Step 5: Solve for x
    x = 16,977,792.65/4,733.48
  6. Step 6: Final answer
    x = 3,586.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.