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Finding the Fourth Proportional to 5,727.76, 7,898.07 and 4,975.27

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Solution

The fourth proportional to 5,727.76, 7,898.07 and 4,975.27 is: 6,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.76 : 7,898.07 = 4,975.27 : x
  2. Step 2: Convert to fraction form
    5,727.76/7,898.07 = 4,975.27/x
  3. Step 3: Cross multiply
    5,727.76x = 7,898.07 × 4,975.27
  4. Step 4: Simplify right side
    5,727.76x = 39,295,030.73
  5. Step 5: Solve for x
    x = 39,295,030.73/5,727.76
  6. Step 6: Final answer
    x = 6,860.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.