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Finding the Fourth Proportional to 5,725.62, 7,883.80 and 5,013.48

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Solution

The fourth proportional to 5,725.62, 7,883.80 and 5,013.48 is: 6,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.62 : 7,883.80 = 5,013.48 : x
  2. Step 2: Convert to fraction form
    5,725.62/7,883.80 = 5,013.48/x
  3. Step 3: Cross multiply
    5,725.62x = 7,883.80 × 5,013.48
  4. Step 4: Simplify right side
    5,725.62x = 39,525,273.62
  5. Step 5: Solve for x
    x = 39,525,273.62/5,725.62
  6. Step 6: Final answer
    x = 6,903.23

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