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Finding the Fourth Proportional to 5,709.24, 7,877.52 and 3,350.76

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Solution

The fourth proportional to 5,709.24, 7,877.52 and 3,350.76 is: 4,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.24 : 7,877.52 = 3,350.76 : x
  2. Step 2: Convert to fraction form
    5,709.24/7,877.52 = 3,350.76/x
  3. Step 3: Cross multiply
    5,709.24x = 7,877.52 × 3,350.76
  4. Step 4: Simplify right side
    5,709.24x = 26,395,678.92
  5. Step 5: Solve for x
    x = 26,395,678.92/5,709.24
  6. Step 6: Final answer
    x = 4,623.33

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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.