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Finding the Fourth Proportional to 4,954.65, 7,432.94 and 1,834.68

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Solution

The fourth proportional to 4,954.65, 7,432.94 and 1,834.68 is: 2,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.65 : 7,432.94 = 1,834.68 : x
  2. Step 2: Convert to fraction form
    4,954.65/7,432.94 = 1,834.68/x
  3. Step 3: Cross multiply
    4,954.65x = 7,432.94 × 1,834.68
  4. Step 4: Simplify right side
    4,954.65x = 13,637,057.19
  5. Step 5: Solve for x
    x = 13,637,057.19/4,954.65
  6. Step 6: Final answer
    x = 2,752.38

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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.