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Finding the Fourth Proportional to 5,678.64, 7,835.56 and 3,553.92

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Solution

The fourth proportional to 5,678.64, 7,835.56 and 3,553.92 is: 4,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.64 : 7,835.56 = 3,553.92 : x
  2. Step 2: Convert to fraction form
    5,678.64/7,835.56 = 3,553.92/x
  3. Step 3: Cross multiply
    5,678.64x = 7,835.56 × 3,553.92
  4. Step 4: Simplify right side
    5,678.64x = 27,846,953.40
  5. Step 5: Solve for x
    x = 27,846,953.40/5,678.64
  6. Step 6: Final answer
    x = 4,903.81

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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.