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Finding the Fourth Proportional to 5,055.50, 7,578.05 and 1,934.78

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Solution

The fourth proportional to 5,055.50, 7,578.05 and 1,934.78 is: 2,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.50 : 7,578.05 = 1,934.78 : x
  2. Step 2: Convert to fraction form
    5,055.50/7,578.05 = 1,934.78/x
  3. Step 3: Cross multiply
    5,055.50x = 7,578.05 × 1,934.78
  4. Step 4: Simplify right side
    5,055.50x = 14,661,812.01
  5. Step 5: Solve for x
    x = 14,661,812.01/5,055.50
  6. Step 6: Final answer
    x = 2,900.17

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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.