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Finding the Fourth Proportional to 5,725.62, 7,896.69 and 4,844.34

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Solution

The fourth proportional to 5,725.62, 7,896.69 and 4,844.34 is: 6,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.62 : 7,896.69 = 4,844.34 : x
  2. Step 2: Convert to fraction form
    5,725.62/7,896.69 = 4,844.34/x
  3. Step 3: Cross multiply
    5,725.62x = 7,896.69 × 4,844.34
  4. Step 4: Simplify right side
    5,725.62x = 38,254,251.23
  5. Step 5: Solve for x
    x = 38,254,251.23/5,725.62
  6. Step 6: Final answer
    x = 6,681.24

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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.