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Finding the Fourth Proportional to 5,653.54, 7,805.78 and 4,324.93

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Solution

The fourth proportional to 5,653.54, 7,805.78 and 4,324.93 is: 5,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.54 : 7,805.78 = 4,324.93 : x
  2. Step 2: Convert to fraction form
    5,653.54/7,805.78 = 4,324.93/x
  3. Step 3: Cross multiply
    5,653.54x = 7,805.78 × 4,324.93
  4. Step 4: Simplify right side
    5,653.54x = 33,759,452.10
  5. Step 5: Solve for x
    x = 33,759,452.10/5,653.54
  6. Step 6: Final answer
    x = 5,971.38

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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.