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Finding the Fourth Proportional to 5,688.48, 7,833.78 and 4,885.38

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Solution

The fourth proportional to 5,688.48, 7,833.78 and 4,885.38 is: 6,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.48 : 7,833.78 = 4,885.38 : x
  2. Step 2: Convert to fraction form
    5,688.48/7,833.78 = 4,885.38/x
  3. Step 3: Cross multiply
    5,688.48x = 7,833.78 × 4,885.38
  4. Step 4: Simplify right side
    5,688.48x = 38,270,992.14
  5. Step 5: Solve for x
    x = 38,270,992.14/5,688.48
  6. Step 6: Final answer
    x = 6,727.81

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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.