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Finding the Fourth Proportional to 5,048.61, 7,571.73 and 1,927.47

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Solution

The fourth proportional to 5,048.61, 7,571.73 and 1,927.47 is: 2,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.61 : 7,571.73 = 1,927.47 : x
  2. Step 2: Convert to fraction form
    5,048.61/7,571.73 = 1,927.47/x
  3. Step 3: Cross multiply
    5,048.61x = 7,571.73 × 1,927.47
  4. Step 4: Simplify right side
    5,048.61x = 14,594,282.42
  5. Step 5: Solve for x
    x = 14,594,282.42/5,048.61
  6. Step 6: Final answer
    x = 2,890.75

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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.